Finding the Third Proportional to 115,746 and 253,650

Step by Step Solution

1. Step 1: Write the proportion equation
   115,746 : 253,650 = 253,650 : x
2. Step 2: Convert to fraction form
   115,746/253,650 = 253,650/x
3. Step 3: Cross multiply
   115,746x = 253,650 × 253,650
4. Step 4: Simplify right side
   115,746x = 64,338,322,500
5. Step 5: Solve for x
   x = 64,338,322,500/115,746
6. Step 6: Final answer
   x = 555,857.85