Finding the Third Proportional to 116,456 and 175,650

Step by Step Solution

1. Step 1: Write the proportion equation
   116,456 : 175,650 = 175,650 : x
2. Step 2: Convert to fraction form
   116,456/175,650 = 175,650/x
3. Step 3: Cross multiply
   116,456x = 175,650 × 175,650
4. Step 4: Simplify right side
   116,456x = 30,852,922,500
5. Step 5: Solve for x
   x = 30,852,922,500/116,456
6. Step 6: Final answer
   x = 264,932.01