Finding the Third Proportional to 42,114 and 91,986

Step by Step Solution

1. Step 1: Write the proportion equation
   42,114 : 91,986 = 91,986 : x
2. Step 2: Convert to fraction form
   42,114/91,986 = 91,986/x
3. Step 3: Cross multiply
   42,114x = 91,986 × 91,986
4. Step 4: Simplify right side
   42,114x = 8,461,424,196
5. Step 5: Solve for x
   x = 8,461,424,196/42,114
6. Step 6: Final answer
   x = 200,917.13