Finding the Third Proportional to 42,132 and 90,461

Step by Step Solution

1. Step 1: Write the proportion equation
   42,132 : 90,461 = 90,461 : x
2. Step 2: Convert to fraction form
   42,132/90,461 = 90,461/x
3. Step 3: Cross multiply
   42,132x = 90,461 × 90,461
4. Step 4: Simplify right side
   42,132x = 8,183,192,521
5. Step 5: Solve for x
   x = 8,183,192,521/42,132
6. Step 6: Final answer
   x = 194,227.49