Finding the Third Proportional to 42,183 and 89,820

Step by Step Solution

1. Step 1: Write the proportion equation
   42,183 : 89,820 = 89,820 : x
2. Step 2: Convert to fraction form
   42,183/89,820 = 89,820/x
3. Step 3: Cross multiply
   42,183x = 89,820 × 89,820
4. Step 4: Simplify right side
   42,183x = 8,067,632,400
5. Step 5: Solve for x
   x = 8,067,632,400/42,183
6. Step 6: Final answer
   x = 191,253.17