Finding the Third Proportional to 54,093.50 and 83,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   54,093.50 : 83,196.75 = 83,196.75 : x
2. Step 2: Convert to fraction form
   54,093.50/83,196.75 = 83,196.75/x
3. Step 3: Cross multiply
   54,093.50x = 83,196.75 × 83,196.75
4. Step 4: Simplify right side
   54,093.50x = 6,921,699,210.56
5. Step 5: Solve for x
   x = 6,921,699,210.56/54,093.50
6. Step 6: Final answer
   x = 127,958.06