Finding the Third Proportional to 116,835 and 175,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,835 : 175,057.50 = 175,057.50 : x
2. Step 2: Convert to fraction form
   116,835/175,057.50 = 175,057.50/x
3. Step 3: Cross multiply
   116,835x = 175,057.50 × 175,057.50
4. Step 4: Simplify right side
   116,835x = 30,645,128,306.25
5. Step 5: Solve for x
   x = 30,645,128,306.25/116,835
6. Step 6: Final answer
   x = 262,294.08