Finding the Third Proportional to 381,054 and 561,054

Step by Step Solution

1. Step 1: Write the proportion equation
   381,054 : 561,054 = 561,054 : x
2. Step 2: Convert to fraction form
   381,054/561,054 = 561,054/x
3. Step 3: Cross multiply
   381,054x = 561,054 × 561,054
4. Step 4: Simplify right side
   381,054x = 314,781,590,916
5. Step 5: Solve for x
   x = 314,781,590,916/381,054
6. Step 6: Final answer
   x = 826,081.32