Finding the Third Proportional to 386,996 and 569,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,996 : 569,119.50 = 569,119.50 : x
2. Step 2: Convert to fraction form
   386,996/569,119.50 = 569,119.50/x
3. Step 3: Cross multiply
   386,996x = 569,119.50 × 569,119.50
4. Step 4: Simplify right side
   386,996x = 323,897,005,280.25
5. Step 5: Solve for x
   x = 323,897,005,280.25/386,996
6. Step 6: Final answer
   x = 836,951.82