Finding the Third Proportional to 42,133.50 and 90,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,133.50 : 90,462.75 = 90,462.75 : x
2. Step 2: Convert to fraction form
   42,133.50/90,462.75 = 90,462.75/x
3. Step 3: Cross multiply
   42,133.50x = 90,462.75 × 90,462.75
4. Step 4: Simplify right side
   42,133.50x = 8,183,509,137.56
5. Step 5: Solve for x
   x = 8,183,509,137.56/42,133.50
6. Step 6: Final answer
   x = 194,228.09