Finding the Third Proportional to 55,300.50 and 83,408.63

Step by Step Solution

1. Step 1: Write the proportion equation
   55,300.50 : 83,408.63 = 83,408.63 : x
2. Step 2: Convert to fraction form
   55,300.50/83,408.63 = 83,408.63/x
3. Step 3: Cross multiply
   55,300.50x = 83,408.63 × 83,408.63
4. Step 4: Simplify right side
   55,300.50x = 6,956,998,724.39
5. Step 5: Solve for x
   x = 6,956,998,724.39/55,300.50
6. Step 6: Final answer
   x = 125,803.54