Finding the Third Proportional to 347.88 and 510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347.88 : 510.50 = 510.50 : x
2. Step 2: Convert to fraction form
   347.88/510.50 = 510.50/x
3. Step 3: Cross multiply
   347.88x = 510.50 × 510.50
4. Step 4: Simplify right side
   347.88x = 260,610.25
5. Step 5: Solve for x
   x = 260,610.25/347.88
6. Step 6: Final answer
   x = 749.15