Finding the Third Proportional to 42,144 and 90,484

Step by Step Solution

1. Step 1: Write the proportion equation
   42,144 : 90,484 = 90,484 : x
2. Step 2: Convert to fraction form
   42,144/90,484 = 90,484/x
3. Step 3: Cross multiply
   42,144x = 90,484 × 90,484
4. Step 4: Simplify right side
   42,144x = 8,187,354,256
5. Step 5: Solve for x
   x = 8,187,354,256/42,144
6. Step 6: Final answer
   x = 194,270.93