Finding the Third Proportional to 174,978 and 386,052

Step by Step Solution

1. Step 1: Write the proportion equation
   174,978 : 386,052 = 386,052 : x
2. Step 2: Convert to fraction form
   174,978/386,052 = 386,052/x
3. Step 3: Cross multiply
   174,978x = 386,052 × 386,052
4. Step 4: Simplify right side
   174,978x = 149,036,146,704
5. Step 5: Solve for x
   x = 149,036,146,704/174,978
6. Step 6: Final answer
   x = 851,742.20