Finding the Third Proportional to 469.27 and 656.30

Step by Step Solution

1. Step 1: Write the proportion equation
   469.27 : 656.30 = 656.30 : x
2. Step 2: Convert to fraction form
   469.27/656.30 = 656.30/x
3. Step 3: Cross multiply
   469.27x = 656.30 × 656.30
4. Step 4: Simplify right side
   469.27x = 430,725.59
5. Step 5: Solve for x
   x = 430,725.59/469.27
6. Step 6: Final answer
   x = 917.87