Finding the Third Proportional to 381,160.69 and 561,223.69

Step by Step Solution

1. Step 1: Write the proportion equation
   381,160.69 : 561,223.69 = 561,223.69 : x
2. Step 2: Convert to fraction form
   381,160.69/561,223.69 = 561,223.69/x
3. Step 3: Cross multiply
   381,160.69x = 561,223.69 × 561,223.69
4. Step 4: Simplify right side
   381,160.69x = 314,972,027,411.10
5. Step 5: Solve for x
   x = 314,972,027,411.10/381,160.69
6. Step 6: Final answer
   x = 826,349.72