Finding the Third Proportional to 81,740 and 176,002

Step by Step Solution

1. Step 1: Write the proportion equation
   81,740 : 176,002 = 176,002 : x
2. Step 2: Convert to fraction form
   81,740/176,002 = 176,002/x
3. Step 3: Cross multiply
   81,740x = 176,002 × 176,002
4. Step 4: Simplify right side
   81,740x = 30,976,704,004
5. Step 5: Solve for x
   x = 30,976,704,004/81,740
6. Step 6: Final answer
   x = 378,966.28