Finding the Third Proportional to 42,148 and 90,493

Step by Step Solution

1. Step 1: Write the proportion equation
   42,148 : 90,493 = 90,493 : x
2. Step 2: Convert to fraction form
   42,148/90,493 = 90,493/x
3. Step 3: Cross multiply
   42,148x = 90,493 × 90,493
4. Step 4: Simplify right side
   42,148x = 8,188,983,049
5. Step 5: Solve for x
   x = 8,188,983,049/42,148
6. Step 6: Final answer
   x = 194,291.14