Finding the Third Proportional to 146,294 and 314,788

Step by Step Solution

1. Step 1: Write the proportion equation
   146,294 : 314,788 = 314,788 : x
2. Step 2: Convert to fraction form
   146,294/314,788 = 314,788/x
3. Step 3: Cross multiply
   146,294x = 314,788 × 314,788
4. Step 4: Simplify right side
   146,294x = 99,091,484,944
5. Step 5: Solve for x
   x = 99,091,484,944/146,294
6. Step 6: Final answer
   x = 677,344.83