Finding the Third Proportional to 81,810 and 109,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,810 : 109,471.50 = 109,471.50 : x
2. Step 2: Convert to fraction form
   81,810/109,471.50 = 109,471.50/x
3. Step 3: Cross multiply
   81,810x = 109,471.50 × 109,471.50
4. Step 4: Simplify right side
   81,810x = 11,984,009,312.25
5. Step 5: Solve for x
   x = 11,984,009,312.25/81,810
6. Step 6: Final answer
   x = 146,485.87