Finding the Third Proportional to 82,291.50 and 122,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,291.50 : 122,897.25 = 122,897.25 : x
2. Step 2: Convert to fraction form
   82,291.50/122,897.25 = 122,897.25/x
3. Step 3: Cross multiply
   82,291.50x = 122,897.25 × 122,897.25
4. Step 4: Simplify right side
   82,291.50x = 15,103,734,057.56
5. Step 5: Solve for x
   x = 15,103,734,057.56/82,291.50
6. Step 6: Final answer
   x = 183,539.42