Finding the Third Proportional to 42,168 and 88,233

Step by Step Solution

1. Step 1: Write the proportion equation
   42,168 : 88,233 = 88,233 : x
2. Step 2: Convert to fraction form
   42,168/88,233 = 88,233/x
3. Step 3: Cross multiply
   42,168x = 88,233 × 88,233
4. Step 4: Simplify right side
   42,168x = 7,785,062,289
5. Step 5: Solve for x
   x = 7,785,062,289/42,168
6. Step 6: Final answer
   x = 184,620.15