Finding the Third Proportional to 82,670 and 177,002

Step by Step Solution

1. Step 1: Write the proportion equation
   82,670 : 177,002 = 177,002 : x
2. Step 2: Convert to fraction form
   82,670/177,002 = 177,002/x
3. Step 3: Cross multiply
   82,670x = 177,002 × 177,002
4. Step 4: Simplify right side
   82,670x = 31,329,708,004
5. Step 5: Solve for x
   x = 31,329,708,004/82,670
6. Step 6: Final answer
   x = 378,973.12