Finding the Third Proportional to 147,384 and 315,798

Step by Step Solution

1. Step 1: Write the proportion equation
   147,384 : 315,798 = 315,798 : x
2. Step 2: Convert to fraction form
   147,384/315,798 = 315,798/x
3. Step 3: Cross multiply
   147,384x = 315,798 × 315,798
4. Step 4: Simplify right side
   147,384x = 99,728,376,804
5. Step 5: Solve for x
   x = 99,728,376,804/147,384
6. Step 6: Final answer
   x = 676,656.74