Finding the Third Proportional to 42,152 and 90,872

Step by Step Solution

1. Step 1: Write the proportion equation
   42,152 : 90,872 = 90,872 : x
2. Step 2: Convert to fraction form
   42,152/90,872 = 90,872/x
3. Step 3: Cross multiply
   42,152x = 90,872 × 90,872
4. Step 4: Simplify right side
   42,152x = 8,257,720,384
5. Step 5: Solve for x
   x = 8,257,720,384/42,152
6. Step 6: Final answer
   x = 195,903.41