Finding the Third Proportional to 116,834.50 and 175,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,834.50 : 175,053.50 = 175,053.50 : x
2. Step 2: Convert to fraction form
   116,834.50/175,053.50 = 175,053.50/x
3. Step 3: Cross multiply
   116,834.50x = 175,053.50 × 175,053.50
4. Step 4: Simplify right side
   116,834.50x = 30,643,727,862.25
5. Step 5: Solve for x
   x = 30,643,727,862.25/116,834.50
6. Step 6: Final answer
   x = 262,283.21