Finding the Third Proportional to 125,655 and 188,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,655 : 188,752.50 = 188,752.50 : x
2. Step 2: Convert to fraction form
   125,655/188,752.50 = 188,752.50/x
3. Step 3: Cross multiply
   125,655x = 188,752.50 × 188,752.50
4. Step 4: Simplify right side
   125,655x = 35,627,506,256.25
5. Step 5: Solve for x
   x = 35,627,506,256.25/125,655
6. Step 6: Final answer
   x = 283,534.33