Finding the Third Proportional to 322.62 and 707.86

Step by Step Solution

1. Step 1: Write the proportion equation
   322.62 : 707.86 = 707.86 : x
2. Step 2: Convert to fraction form
   322.62/707.86 = 707.86/x
3. Step 3: Cross multiply
   322.62x = 707.86 × 707.86
4. Step 4: Simplify right side
   322.62x = 501,064.89
5. Step 5: Solve for x
   x = 501,064.89/322.62
6. Step 6: Final answer
   x = 1,553.13