Finding the Third Proportional to 456 and 707.38

Step by Step Solution

1. Step 1: Write the proportion equation
   456 : 707.38 = 707.38 : x
2. Step 2: Convert to fraction form
   456/707.38 = 707.38/x
3. Step 3: Cross multiply
   456x = 707.38 × 707.38
4. Step 4: Simplify right side
   456x = 500,379.39
5. Step 5: Solve for x
   x = 500,379.39/456
6. Step 6: Final answer
   x = 1,097.32