Finding the Third Proportional to 469.69 and 700.31

Step by Step Solution

1. Step 1: Write the proportion equation
   469.69 : 700.31 = 700.31 : x
2. Step 2: Convert to fraction form
   469.69/700.31 = 700.31/x
3. Step 3: Cross multiply
   469.69x = 700.31 × 700.31
4. Step 4: Simplify right side
   469.69x = 490,437.60
5. Step 5: Solve for x
   x = 490,437.60/469.69
6. Step 6: Final answer
   x = 1,044.18