Finding the Third Proportional to 42,333 and 90,498

Step by Step Solution

1. Step 1: Write the proportion equation
   42,333 : 90,498 = 90,498 : x
2. Step 2: Convert to fraction form
   42,333/90,498 = 90,498/x
3. Step 3: Cross multiply
   42,333x = 90,498 × 90,498
4. Step 4: Simplify right side
   42,333x = 8,189,888,004
5. Step 5: Solve for x
   x = 8,189,888,004/42,333
6. Step 6: Final answer
   x = 193,463.44