Finding the Third Proportional to 340,034.50 and 510,108

Step by Step Solution

1. Step 1: Write the proportion equation
   340,034.50 : 510,108 = 510,108 : x
2. Step 2: Convert to fraction form
   340,034.50/510,108 = 510,108/x
3. Step 3: Cross multiply
   340,034.50x = 510,108 × 510,108
4. Step 4: Simplify right side
   340,034.50x = 260,210,171,664
5. Step 5: Solve for x
   x = 260,210,171,664/340,034.50
6. Step 6: Final answer
   x = 765,246.38