Finding the Third Proportional to 71,920 and 108,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,920 : 108,883.50 = 108,883.50 : x
2. Step 2: Convert to fraction form
   71,920/108,883.50 = 108,883.50/x
3. Step 3: Cross multiply
   71,920x = 108,883.50 × 108,883.50
4. Step 4: Simplify right side
   71,920x = 11,855,616,572.25
5. Step 5: Solve for x
   x = 11,855,616,572.25/71,920
6. Step 6: Final answer
   x = 164,844.50