Finding the Third Proportional to 42,101 and 92,986

Step by Step Solution

1. Step 1: Write the proportion equation
   42,101 : 92,986 = 92,986 : x
2. Step 2: Convert to fraction form
   42,101/92,986 = 92,986/x
3. Step 3: Cross multiply
   42,101x = 92,986 × 92,986
4. Step 4: Simplify right side
   42,101x = 8,646,396,196
5. Step 5: Solve for x
   x = 8,646,396,196/42,101
6. Step 6: Final answer
   x = 205,372.70