Finding the Third Proportional to 56,738 and 120,650

Step by Step Solution

1. Step 1: Write the proportion equation
   56,738 : 120,650 = 120,650 : x
2. Step 2: Convert to fraction form
   56,738/120,650 = 120,650/x
3. Step 3: Cross multiply
   56,738x = 120,650 × 120,650
4. Step 4: Simplify right side
   56,738x = 14,556,422,500
5. Step 5: Solve for x
   x = 14,556,422,500/56,738
6. Step 6: Final answer
   x = 256,555.09