Finding the Third Proportional to 381,051 and 561,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,051 : 561,049.50 = 561,049.50 : x
2. Step 2: Convert to fraction form
   381,051/561,049.50 = 561,049.50/x
3. Step 3: Cross multiply
   381,051x = 561,049.50 × 561,049.50
4. Step 4: Simplify right side
   381,051x = 314,776,541,450.25
5. Step 5: Solve for x
   x = 314,776,541,450.25/381,051
6. Step 6: Final answer
   x = 826,074.57