Finding the Third Proportional to 265.31 and 385.86

Step by Step Solution

1. Step 1: Write the proportion equation
   265.31 : 385.86 = 385.86 : x
2. Step 2: Convert to fraction form
   265.31/385.86 = 385.86/x
3. Step 3: Cross multiply
   265.31x = 385.86 × 385.86
4. Step 4: Simplify right side
   265.31x = 148,885.95
5. Step 5: Solve for x
   x = 148,885.95/265.31
6. Step 6: Final answer
   x = 561.18