Finding the Third Proportional to 81,812 and 109,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,812 : 109,474.50 = 109,474.50 : x
2. Step 2: Convert to fraction form
   81,812/109,474.50 = 109,474.50/x
3. Step 3: Cross multiply
   81,812x = 109,474.50 × 109,474.50
4. Step 4: Simplify right side
   81,812x = 11,984,666,150.25
5. Step 5: Solve for x
   x = 11,984,666,150.25/81,812
6. Step 6: Final answer
   x = 146,490.32