Finding the Third Proportional to 126,792 and 189,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,792 : 189,796.50 = 189,796.50 : x
2. Step 2: Convert to fraction form
   126,792/189,796.50 = 189,796.50/x
3. Step 3: Cross multiply
   126,792x = 189,796.50 × 189,796.50
4. Step 4: Simplify right side
   126,792x = 36,022,711,412.25
5. Step 5: Solve for x
   x = 36,022,711,412.25/126,792
6. Step 6: Final answer
   x = 284,108.71