Finding the Third Proportional to 129,861 and 194,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,861 : 194,791.50 = 194,791.50 : x
2. Step 2: Convert to fraction form
   129,861/194,791.50 = 194,791.50/x
3. Step 3: Cross multiply
   129,861x = 194,791.50 × 194,791.50
4. Step 4: Simplify right side
   129,861x = 37,943,728,472.25
5. Step 5: Solve for x
   x = 37,943,728,472.25/129,861
6. Step 6: Final answer
   x = 292,187.25