Finding the Third Proportional to 265.88 and 410.72

Step by Step Solution

1. Step 1: Write the proportion equation
   265.88 : 410.72 = 410.72 : x
2. Step 2: Convert to fraction form
   265.88/410.72 = 410.72/x
3. Step 3: Cross multiply
   265.88x = 410.72 × 410.72
4. Step 4: Simplify right side
   265.88x = 168,689.89
5. Step 5: Solve for x
   x = 168,689.89/265.88
6. Step 6: Final answer
   x = 634.47