Finding the Third Proportional to 55,135.50 and 82,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,135.50 : 82,777.50 = 82,777.50 : x
2. Step 2: Convert to fraction form
   55,135.50/82,777.50 = 82,777.50/x
3. Step 3: Cross multiply
   55,135.50x = 82,777.50 × 82,777.50
4. Step 4: Simplify right side
   55,135.50x = 6,852,114,506.25
5. Step 5: Solve for x
   x = 6,852,114,506.25/55,135.50
6. Step 6: Final answer
   x = 124,277.72