Finding the Third Proportional to 510,408 and 614,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510,408 : 614,839.50 = 614,839.50 : x
2. Step 2: Convert to fraction form
   510,408/614,839.50 = 614,839.50/x
3. Step 3: Cross multiply
   510,408x = 614,839.50 × 614,839.50
4. Step 4: Simplify right side
   510,408x = 378,027,610,760.25
5. Step 5: Solve for x
   x = 378,027,610,760.25/510,408
6. Step 6: Final answer
   x = 740,638.10