Finding the Third Proportional to 116,426 and 177,002

Step by Step Solution

1. Step 1: Write the proportion equation
   116,426 : 177,002 = 177,002 : x
2. Step 2: Convert to fraction form
   116,426/177,002 = 177,002/x
3. Step 3: Cross multiply
   116,426x = 177,002 × 177,002
4. Step 4: Simplify right side
   116,426x = 31,329,708,004
5. Step 5: Solve for x
   x = 31,329,708,004/116,426
6. Step 6: Final answer
   x = 269,095.46