Finding the Third Proportional to 55,785 and 78,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,785 : 78,205.50 = 78,205.50 : x
2. Step 2: Convert to fraction form
   55,785/78,205.50 = 78,205.50/x
3. Step 3: Cross multiply
   55,785x = 78,205.50 × 78,205.50
4. Step 4: Simplify right side
   55,785x = 6,116,100,230.25
5. Step 5: Solve for x
   x = 6,116,100,230.25/55,785
6. Step 6: Final answer
   x = 109,637.00