Finding the Third Proportional to 55,384 and 120,032

Step by Step Solution

1. Step 1: Write the proportion equation
   55,384 : 120,032 = 120,032 : x
2. Step 2: Convert to fraction form
   55,384/120,032 = 120,032/x
3. Step 3: Cross multiply
   55,384x = 120,032 × 120,032
4. Step 4: Simplify right side
   55,384x = 14,407,681,024
5. Step 5: Solve for x
   x = 14,407,681,024/55,384
6. Step 6: Final answer
   x = 260,141.58