Finding the Third Proportional to 381,555 and 561,235.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,555 : 561,235.50 = 561,235.50 : x
2. Step 2: Convert to fraction form
   381,555/561,235.50 = 561,235.50/x
3. Step 3: Cross multiply
   381,555x = 561,235.50 × 561,235.50
4. Step 4: Simplify right side
   381,555x = 314,985,286,460.25
5. Step 5: Solve for x
   x = 314,985,286,460.25/381,555
6. Step 6: Final answer
   x = 825,530.49