Finding the Third Proportional to 42,414 and 90,660

Step by Step Solution

1. Step 1: Write the proportion equation
   42,414 : 90,660 = 90,660 : x
2. Step 2: Convert to fraction form
   42,414/90,660 = 90,660/x
3. Step 3: Cross multiply
   42,414x = 90,660 × 90,660
4. Step 4: Simplify right side
   42,414x = 8,219,235,600
5. Step 5: Solve for x
   x = 8,219,235,600/42,414
6. Step 6: Final answer
   x = 193,785.91