Finding the Third Proportional to 147,694.50 and 316,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   147,694.50 : 316,404.75 = 316,404.75 : x
2. Step 2: Convert to fraction form
   147,694.50/316,404.75 = 316,404.75/x
3. Step 3: Cross multiply
   147,694.50x = 316,404.75 × 316,404.75
4. Step 4: Simplify right side
   147,694.50x = 100,111,965,822.56
5. Step 5: Solve for x
   x = 100,111,965,822.56/147,694.50
6. Step 6: Final answer
   x = 677,831.37