Finding the Third Proportional to 381,354 and 517,341.38

Step by Step Solution

1. Step 1: Write the proportion equation
   381,354 : 517,341.38 = 517,341.38 : x
2. Step 2: Convert to fraction form
   381,354/517,341.38 = 517,341.38/x
3. Step 3: Cross multiply
   381,354x = 517,341.38 × 517,341.38
4. Step 4: Simplify right side
   381,354x = 267,642,098,286.89
5. Step 5: Solve for x
   x = 267,642,098,286.89/381,354
6. Step 6: Final answer
   x = 701,820.61