Finding the Third Proportional to 56,142 and 120,063

Step by Step Solution

1. Step 1: Write the proportion equation
   56,142 : 120,063 = 120,063 : x
2. Step 2: Convert to fraction form
   56,142/120,063 = 120,063/x
3. Step 3: Cross multiply
   56,142x = 120,063 × 120,063
4. Step 4: Simplify right side
   56,142x = 14,415,123,969
5. Step 5: Solve for x
   x = 14,415,123,969/56,142
6. Step 6: Final answer
   x = 256,761.85