Finding the Third Proportional to 412.50 and 766.88

Step by Step Solution

1. Step 1: Write the proportion equation
   412.50 : 766.88 = 766.88 : x
2. Step 2: Convert to fraction form
   412.50/766.88 = 766.88/x
3. Step 3: Cross multiply
   412.50x = 766.88 × 766.88
4. Step 4: Simplify right side
   412.50x = 588,097.27
5. Step 5: Solve for x
   x = 588,097.27/412.50
6. Step 6: Final answer
   x = 1,425.69