Finding the Third Proportional to 122,434.50 and 175,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,434.50 : 175,267.50 = 175,267.50 : x
2. Step 2: Convert to fraction form
   122,434.50/175,267.50 = 175,267.50/x
3. Step 3: Cross multiply
   122,434.50x = 175,267.50 × 175,267.50
4. Step 4: Simplify right side
   122,434.50x = 30,718,696,556.25
5. Step 5: Solve for x
   x = 30,718,696,556.25/122,434.50
6. Step 6: Final answer
   x = 250,899.02