Finding the Third Proportional to 341,517.38 and 509,508

Step by Step Solution

1. Step 1: Write the proportion equation
   341,517.38 : 509,508 = 509,508 : x
2. Step 2: Convert to fraction form
   341,517.38/509,508 = 509,508/x
3. Step 3: Cross multiply
   341,517.38x = 509,508 × 509,508
4. Step 4: Simplify right side
   341,517.38x = 259,598,402,064
5. Step 5: Solve for x
   x = 259,598,402,064/341,517.38
6. Step 6: Final answer
   x = 760,132.34