Finding the Third Proportional to 55,632 and 120,003

Step by Step Solution

1. Step 1: Write the proportion equation
   55,632 : 120,003 = 120,003 : x
2. Step 2: Convert to fraction form
   55,632/120,003 = 120,003/x
3. Step 3: Cross multiply
   55,632x = 120,003 × 120,003
4. Step 4: Simplify right side
   55,632x = 14,400,720,009
5. Step 5: Solve for x
   x = 14,400,720,009/55,632
6. Step 6: Final answer
   x = 258,856.77