Finding the Third Proportional to 82,666.41 and 123,677.72

Step by Step Solution

1. Step 1: Write the proportion equation
   82,666.41 : 123,677.72 = 123,677.72 : x
2. Step 2: Convert to fraction form
   82,666.41/123,677.72 = 123,677.72/x
3. Step 3: Cross multiply
   82,666.41x = 123,677.72 × 123,677.72
4. Step 4: Simplify right side
   82,666.41x = 15,296,178,115.20
5. Step 5: Solve for x
   x = 15,296,178,115.20/82,666.41
6. Step 6: Final answer
   x = 185,035.00