Finding the Third Proportional to 82,202.34 and 123,314.91

Step by Step Solution

1. Step 1: Write the proportion equation
   82,202.34 : 123,314.91 = 123,314.91 : x
2. Step 2: Convert to fraction form
   82,202.34/123,314.91 = 123,314.91/x
3. Step 3: Cross multiply
   82,202.34x = 123,314.91 × 123,314.91
4. Step 4: Simplify right side
   82,202.34x = 15,206,566,103.45
5. Step 5: Solve for x
   x = 15,206,566,103.45/82,202.34
6. Step 6: Final answer
   x = 184,989.45