Finding the Third Proportional to 147,658 and 316,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,658 : 316,296.50 = 316,296.50 : x
2. Step 2: Convert to fraction form
   147,658/316,296.50 = 316,296.50/x
3. Step 3: Cross multiply
   147,658x = 316,296.50 × 316,296.50
4. Step 4: Simplify right side
   147,658x = 100,043,475,912.25
5. Step 5: Solve for x
   x = 100,043,475,912.25/147,658
6. Step 6: Final answer
   x = 677,535.09