Finding the Third Proportional to 116,829 and 175,048

Step by Step Solution

1. Step 1: Write the proportion equation
   116,829 : 175,048 = 175,048 : x
2. Step 2: Convert to fraction form
   116,829/175,048 = 175,048/x
3. Step 3: Cross multiply
   116,829x = 175,048 × 175,048
4. Step 4: Simplify right side
   116,829x = 30,641,802,304
5. Step 5: Solve for x
   x = 30,641,802,304/116,829
6. Step 6: Final answer
   x = 262,279.08