Finding the Third Proportional to 42,311 and 91,906

Step by Step Solution

1. Step 1: Write the proportion equation
   42,311 : 91,906 = 91,906 : x
2. Step 2: Convert to fraction form
   42,311/91,906 = 91,906/x
3. Step 3: Cross multiply
   42,311x = 91,906 × 91,906
4. Step 4: Simplify right side
   42,311x = 8,446,712,836
5. Step 5: Solve for x
   x = 8,446,712,836/42,311
6. Step 6: Final answer
   x = 199,633.97