Finding the Third Proportional to 53,299 and 82,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,299 : 82,540.50 = 82,540.50 : x
2. Step 2: Convert to fraction form
   53,299/82,540.50 = 82,540.50/x
3. Step 3: Cross multiply
   53,299x = 82,540.50 × 82,540.50
4. Step 4: Simplify right side
   53,299x = 6,812,934,140.25
5. Step 5: Solve for x
   x = 6,812,934,140.25/53,299
6. Step 6: Final answer
   x = 127,824.80