Finding the Third Proportional to 54,109.50 and 77,222.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,109.50 : 77,222.25 = 77,222.25 : x
2. Step 2: Convert to fraction form
   54,109.50/77,222.25 = 77,222.25/x
3. Step 3: Cross multiply
   54,109.50x = 77,222.25 × 77,222.25
4. Step 4: Simplify right side
   54,109.50x = 5,963,275,895.06
5. Step 5: Solve for x
   x = 5,963,275,895.06/54,109.50
6. Step 6: Final answer
   x = 110,207.56