Finding the Third Proportional to 384.06 and 560.69

Step by Step Solution

1. Step 1: Write the proportion equation
   384.06 : 560.69 = 560.69 : x
2. Step 2: Convert to fraction form
   384.06/560.69 = 560.69/x
3. Step 3: Cross multiply
   384.06x = 560.69 × 560.69
4. Step 4: Simplify right side
   384.06x = 314,370.47
5. Step 5: Solve for x
   x = 314,370.47/384.06
6. Step 6: Final answer
   x = 818.54