Finding the Third Proportional to 92,772 and 140,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,772 : 140,920.50 = 140,920.50 : x
2. Step 2: Convert to fraction form
   92,772/140,920.50 = 140,920.50/x
3. Step 3: Cross multiply
   92,772x = 140,920.50 × 140,920.50
4. Step 4: Simplify right side
   92,772x = 19,858,587,320.25
5. Step 5: Solve for x
   x = 19,858,587,320.25/92,772
6. Step 6: Final answer
   x = 214,057.98