Finding the Third Proportional to 510.50 and 747.88

Step by Step Solution

1. Step 1: Write the proportion equation
   510.50 : 747.88 = 747.88 : x
2. Step 2: Convert to fraction form
   510.50/747.88 = 747.88/x
3. Step 3: Cross multiply
   510.50x = 747.88 × 747.88
4. Step 4: Simplify right side
   510.50x = 559,317.02
5. Step 5: Solve for x
   x = 559,317.02/510.50
6. Step 6: Final answer
   x = 1,095.63