Finding the Third Proportional to 115,680 and 253,500

Step by Step Solution

1. Step 1: Write the proportion equation
   115,680 : 253,500 = 253,500 : x
2. Step 2: Convert to fraction form
   115,680/253,500 = 253,500/x
3. Step 3: Cross multiply
   115,680x = 253,500 × 253,500
4. Step 4: Simplify right side
   115,680x = 64,262,250,000
5. Step 5: Solve for x
   x = 64,262,250,000/115,680
6. Step 6: Final answer
   x = 555,517.38