Finding the Third Proportional to 387,567 and 566,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,567 : 566,014.50 = 566,014.50 : x
2. Step 2: Convert to fraction form
   387,567/566,014.50 = 566,014.50/x
3. Step 3: Cross multiply
   387,567x = 566,014.50 × 566,014.50
4. Step 4: Simplify right side
   387,567x = 320,372,414,210.25
5. Step 5: Solve for x
   x = 320,372,414,210.25/387,567
6. Step 6: Final answer
   x = 826,624.59