Finding the Third Proportional to 549.60 and 712.86

Step by Step Solution

1. Step 1: Write the proportion equation
   549.60 : 712.86 = 712.86 : x
2. Step 2: Convert to fraction form
   549.60/712.86 = 712.86/x
3. Step 3: Cross multiply
   549.60x = 712.86 × 712.86
4. Step 4: Simplify right side
   549.60x = 508,174.06
5. Step 5: Solve for x
   x = 508,174.06/549.60
6. Step 6: Final answer
   x = 924.63