Finding the Third Proportional to 42,421 and 89,486

Step by Step Solution

1. Step 1: Write the proportion equation
   42,421 : 89,486 = 89,486 : x
2. Step 2: Convert to fraction form
   42,421/89,486 = 89,486/x
3. Step 3: Cross multiply
   42,421x = 89,486 × 89,486
4. Step 4: Simplify right side
   42,421x = 8,007,744,196
5. Step 5: Solve for x
   x = 8,007,744,196/42,421
6. Step 6: Final answer
   x = 188,768.40