Finding the Third Proportional to 442.50 and 700.38

Step by Step Solution

1. Step 1: Write the proportion equation
   442.50 : 700.38 = 700.38 : x
2. Step 2: Convert to fraction form
   442.50/700.38 = 700.38/x
3. Step 3: Cross multiply
   442.50x = 700.38 × 700.38
4. Step 4: Simplify right side
   442.50x = 490,525.14
5. Step 5: Solve for x
   x = 490,525.14/442.50
6. Step 6: Final answer
   x = 1,108.53