Finding the Third Proportional to 381,168 and 561,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,168 : 561,190.50 = 561,190.50 : x
2. Step 2: Convert to fraction form
   381,168/561,190.50 = 561,190.50/x
3. Step 3: Cross multiply
   381,168x = 561,190.50 × 561,190.50
4. Step 4: Simplify right side
   381,168x = 314,934,777,290.25
5. Step 5: Solve for x
   x = 314,934,777,290.25/381,168
6. Step 6: Final answer
   x = 826,236.14