Finding the Third Proportional to 42,408 and 90,630

Step by Step Solution

1. Step 1: Write the proportion equation
   42,408 : 90,630 = 90,630 : x
2. Step 2: Convert to fraction form
   42,408/90,630 = 90,630/x
3. Step 3: Cross multiply
   42,408x = 90,630 × 90,630
4. Step 4: Simplify right side
   42,408x = 8,213,796,900
5. Step 5: Solve for x
   x = 8,213,796,900/42,408
6. Step 6: Final answer
   x = 193,685.08