Finding the Third Proportional to 42,590 and 90,643

Step by Step Solution

1. Step 1: Write the proportion equation
   42,590 : 90,643 = 90,643 : x
2. Step 2: Convert to fraction form
   42,590/90,643 = 90,643/x
3. Step 3: Cross multiply
   42,590x = 90,643 × 90,643
4. Step 4: Simplify right side
   42,590x = 8,216,153,449
5. Step 5: Solve for x
   x = 8,216,153,449/42,590
6. Step 6: Final answer
   x = 192,912.74