Finding the Third Proportional to 69,649 and 152,648

Step by Step Solution

1. Step 1: Write the proportion equation
   69,649 : 152,648 = 152,648 : x
2. Step 2: Convert to fraction form
   69,649/152,648 = 152,648/x
3. Step 3: Cross multiply
   69,649x = 152,648 × 152,648
4. Step 4: Simplify right side
   69,649x = 23,301,411,904
5. Step 5: Solve for x
   x = 23,301,411,904/69,649
6. Step 6: Final answer
   x = 334,554.87