Finding the Third Proportional to 42,257 and 89,893

Step by Step Solution

1. Step 1: Write the proportion equation
   42,257 : 89,893 = 89,893 : x
2. Step 2: Convert to fraction form
   42,257/89,893 = 89,893/x
3. Step 3: Cross multiply
   42,257x = 89,893 × 89,893
4. Step 4: Simplify right side
   42,257x = 8,080,751,449
5. Step 5: Solve for x
   x = 8,080,751,449/42,257
6. Step 6: Final answer
   x = 191,228.71