Finding the Third Proportional to 42,054 and 90,498

Step by Step Solution

1. Step 1: Write the proportion equation
   42,054 : 90,498 = 90,498 : x
2. Step 2: Convert to fraction form
   42,054/90,498 = 90,498/x
3. Step 3: Cross multiply
   42,054x = 90,498 × 90,498
4. Step 4: Simplify right side
   42,054x = 8,189,888,004
5. Step 5: Solve for x
   x = 8,189,888,004/42,054
6. Step 6: Final answer
   x = 194,746.94