Finding the Third Proportional to 55,782.50 and 78,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,782.50 : 78,022.50 = 78,022.50 : x
2. Step 2: Convert to fraction form
   55,782.50/78,022.50 = 78,022.50/x
3. Step 3: Cross multiply
   55,782.50x = 78,022.50 × 78,022.50
4. Step 4: Simplify right side
   55,782.50x = 6,087,510,506.25
5. Step 5: Solve for x
   x = 6,087,510,506.25/55,782.50
6. Step 6: Final answer
   x = 109,129.40