Finding the Third Proportional to 55,114.63 and 82,457.38

Step by Step Solution

1. Step 1: Write the proportion equation
   55,114.63 : 82,457.38 = 82,457.38 : x
2. Step 2: Convert to fraction form
   55,114.63/82,457.38 = 82,457.38/x
3. Step 3: Cross multiply
   55,114.63x = 82,457.38 × 82,457.38
4. Step 4: Simplify right side
   55,114.63x = 6,799,218,691.89
5. Step 5: Solve for x
   x = 6,799,218,691.89/55,114.63
6. Step 6: Final answer
   x = 123,365.05