Finding the Third Proportional to 53,109 and 81,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,109 : 81,520.50 = 81,520.50 : x
2. Step 2: Convert to fraction form
   53,109/81,520.50 = 81,520.50/x
3. Step 3: Cross multiply
   53,109x = 81,520.50 × 81,520.50
4. Step 4: Simplify right side
   53,109x = 6,645,591,920.25
5. Step 5: Solve for x
   x = 6,645,591,920.25/53,109
6. Step 6: Final answer
   x = 125,131.18