Finding the Third Proportional to 42,464 and 89,990

Step by Step Solution

1. Step 1: Write the proportion equation
   42,464 : 89,990 = 89,990 : x
2. Step 2: Convert to fraction form
   42,464/89,990 = 89,990/x
3. Step 3: Cross multiply
   42,464x = 89,990 × 89,990
4. Step 4: Simplify right side
   42,464x = 8,098,200,100
5. Step 5: Solve for x
   x = 8,098,200,100/42,464
6. Step 6: Final answer
   x = 190,707.43