Finding the Third Proportional to 387,353 and 566,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,353 : 566,164.50 = 566,164.50 : x
2. Step 2: Convert to fraction form
   387,353/566,164.50 = 566,164.50/x
3. Step 3: Cross multiply
   387,353x = 566,164.50 × 566,164.50
4. Step 4: Simplify right side
   387,353x = 320,542,241,060.25
5. Step 5: Solve for x
   x = 320,542,241,060.25/387,353
6. Step 6: Final answer
   x = 827,519.71