Finding the Third Proportional to 149,288,056,993 and 329,005,773,949

Step by Step Solution

1. Step 1: Write the proportion equation
   149,288,056,993 : 329,005,773,949 = 329,005,773,949 : x
2. Step 2: Convert to fraction form
   149,288,056,993/329,005,773,949 = 329,005,773,949/x
3. Step 3: Cross multiply
   149,288,056,993x = 329,005,773,949 × 329,005,773,949
4. Step 4: Simplify right side
   149,288,056,993x = 108,244,799,291,780,493,213,696
5. Step 5: Solve for x
   x = 108,244,799,291,780,493,213,696/149,288,056,993
6. Step 6: Final answer
   x = 725,073,401,530.41