Finding the Third Proportional to 56,141 and 120,061

Step by Step Solution

1. Step 1: Write the proportion equation
   56,141 : 120,061 = 120,061 : x
2. Step 2: Convert to fraction form
   56,141/120,061 = 120,061/x
3. Step 3: Cross multiply
   56,141x = 120,061 × 120,061
4. Step 4: Simplify right side
   56,141x = 14,414,643,721
5. Step 5: Solve for x
   x = 14,414,643,721/56,141
6. Step 6: Final answer
   x = 256,757.87