Finding the Third Proportional to 42,258 and 89,902

Step by Step Solution

1. Step 1: Write the proportion equation
   42,258 : 89,902 = 89,902 : x
2. Step 2: Convert to fraction form
   42,258/89,902 = 89,902/x
3. Step 3: Cross multiply
   42,258x = 89,902 × 89,902
4. Step 4: Simplify right side
   42,258x = 8,082,369,604
5. Step 5: Solve for x
   x = 8,082,369,604/42,258
6. Step 6: Final answer
   x = 191,262.47