Finding the Third Proportional to 42,214.50 and 91,746

Step by Step Solution

1. Step 1: Write the proportion equation
   42,214.50 : 91,746 = 91,746 : x
2. Step 2: Convert to fraction form
   42,214.50/91,746 = 91,746/x
3. Step 3: Cross multiply
   42,214.50x = 91,746 × 91,746
4. Step 4: Simplify right side
   42,214.50x = 8,417,328,516
5. Step 5: Solve for x
   x = 8,417,328,516/42,214.50
6. Step 6: Final answer
   x = 199,394.25