Finding the Third Proportional to 131,961 and 311,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,961 : 311,194.50 = 311,194.50 : x
2. Step 2: Convert to fraction form
   131,961/311,194.50 = 311,194.50/x
3. Step 3: Cross multiply
   131,961x = 311,194.50 × 311,194.50
4. Step 4: Simplify right side
   131,961x = 96,842,016,830.25
5. Step 5: Solve for x
   x = 96,842,016,830.25/131,961
6. Step 6: Final answer
   x = 733,868.47