Finding the Third Proportional to 42,144 and 90,288

Step by Step Solution

1. Step 1: Write the proportion equation
   42,144 : 90,288 = 90,288 : x
2. Step 2: Convert to fraction form
   42,144/90,288 = 90,288/x
3. Step 3: Cross multiply
   42,144x = 90,288 × 90,288
4. Step 4: Simplify right side
   42,144x = 8,151,922,944
5. Step 5: Solve for x
   x = 8,151,922,944/42,144
6. Step 6: Final answer
   x = 193,430.21