Finding the Third Proportional to 42,184 and 89,832

Step by Step Solution

1. Step 1: Write the proportion equation
   42,184 : 89,832 = 89,832 : x
2. Step 2: Convert to fraction form
   42,184/89,832 = 89,832/x
3. Step 3: Cross multiply
   42,184x = 89,832 × 89,832
4. Step 4: Simplify right side
   42,184x = 8,069,788,224
5. Step 5: Solve for x
   x = 8,069,788,224/42,184
6. Step 6: Final answer
   x = 191,299.74