Finding the Third Proportional to 75,278.50 and 108,202

Step by Step Solution

1. Step 1: Write the proportion equation
   75,278.50 : 108,202 = 108,202 : x
2. Step 2: Convert to fraction form
   75,278.50/108,202 = 108,202/x
3. Step 3: Cross multiply
   75,278.50x = 108,202 × 108,202
4. Step 4: Simplify right side
   75,278.50x = 11,707,672,804
5. Step 5: Solve for x
   x = 11,707,672,804/75,278.50
6. Step 6: Final answer
   x = 155,524.79