Finding the Third Proportional to 116,002 and 176,434

Step by Step Solution

1. Step 1: Write the proportion equation
   116,002 : 176,434 = 176,434 : x
2. Step 2: Convert to fraction form
   116,002/176,434 = 176,434/x
3. Step 3: Cross multiply
   116,002x = 176,434 × 176,434
4. Step 4: Simplify right side
   116,002x = 31,128,956,356
5. Step 5: Solve for x
   x = 31,128,956,356/116,002
6. Step 6: Final answer
   x = 268,348.45