Finding the Third Proportional to 42,657 and 90,231

Step by Step Solution

1. Step 1: Write the proportion equation
   42,657 : 90,231 = 90,231 : x
2. Step 2: Convert to fraction form
   42,657/90,231 = 90,231/x
3. Step 3: Cross multiply
   42,657x = 90,231 × 90,231
4. Step 4: Simplify right side
   42,657x = 8,141,633,361
5. Step 5: Solve for x
   x = 8,141,633,361/42,657
6. Step 6: Final answer
   x = 190,862.77