Finding the Third Proportional to 42,195 and 90,648

Step by Step Solution

1. Step 1: Write the proportion equation
   42,195 : 90,648 = 90,648 : x
2. Step 2: Convert to fraction form
   42,195/90,648 = 90,648/x
3. Step 3: Cross multiply
   42,195x = 90,648 × 90,648
4. Step 4: Simplify right side
   42,195x = 8,217,059,904
5. Step 5: Solve for x
   x = 8,217,059,904/42,195
6. Step 6: Final answer
   x = 194,740.13