Finding the Third Proportional to 42,135 and 89,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,135 : 89,464.50 = 89,464.50 : x
2. Step 2: Convert to fraction form
   42,135/89,464.50 = 89,464.50/x
3. Step 3: Cross multiply
   42,135x = 89,464.50 × 89,464.50
4. Step 4: Simplify right side
   42,135x = 8,003,896,760.25
5. Step 5: Solve for x
   x = 8,003,896,760.25/42,135
6. Step 6: Final answer
   x = 189,958.39