Finding the Third Proportional to 147,591 and 316,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,591 : 316,682.50 = 316,682.50 : x
2. Step 2: Convert to fraction form
   147,591/316,682.50 = 316,682.50/x
3. Step 3: Cross multiply
   147,591x = 316,682.50 × 316,682.50
4. Step 4: Simplify right side
   147,591x = 100,287,805,806.25
5. Step 5: Solve for x
   x = 100,287,805,806.25/147,591
6. Step 6: Final answer
   x = 679,498.11