Finding the Third Proportional to 55,781.50 and 78,200

Step by Step Solution

1. Step 1: Write the proportion equation
   55,781.50 : 78,200 = 78,200 : x
2. Step 2: Convert to fraction form
   55,781.50/78,200 = 78,200/x
3. Step 3: Cross multiply
   55,781.50x = 78,200 × 78,200
4. Step 4: Simplify right side
   55,781.50x = 6,115,240,000
5. Step 5: Solve for x
   x = 6,115,240,000/55,781.50
6. Step 6: Final answer
   x = 109,628.46