Finding the Third Proportional to 53,099 and 82,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,099 : 82,874.50 = 82,874.50 : x
2. Step 2: Convert to fraction form
   53,099/82,874.50 = 82,874.50/x
3. Step 3: Cross multiply
   53,099x = 82,874.50 × 82,874.50
4. Step 4: Simplify right side
   53,099x = 6,868,182,750.25
5. Step 5: Solve for x
   x = 6,868,182,750.25/53,099
6. Step 6: Final answer
   x = 129,346.74