Finding the Third Proportional to 42,314 and 90,461

Step by Step Solution

1. Step 1: Write the proportion equation
   42,314 : 90,461 = 90,461 : x
2. Step 2: Convert to fraction form
   42,314/90,461 = 90,461/x
3. Step 3: Cross multiply
   42,314x = 90,461 × 90,461
4. Step 4: Simplify right side
   42,314x = 8,183,192,521
5. Step 5: Solve for x
   x = 8,183,192,521/42,314
6. Step 6: Final answer
   x = 193,392.08