Finding the Third Proportional to 55,638 and 86,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,638 : 86,278.50 = 86,278.50 : x
2. Step 2: Convert to fraction form
   55,638/86,278.50 = 86,278.50/x
3. Step 3: Cross multiply
   55,638x = 86,278.50 × 86,278.50
4. Step 4: Simplify right side
   55,638x = 7,443,979,562.25
5. Step 5: Solve for x
   x = 7,443,979,562.25/55,638
6. Step 6: Final answer
   x = 133,793.08