Finding the Third Proportional to 75,105 and 152,282

Step by Step Solution

1. Step 1: Write the proportion equation
   75,105 : 152,282 = 152,282 : x
2. Step 2: Convert to fraction form
   75,105/152,282 = 152,282/x
3. Step 3: Cross multiply
   75,105x = 152,282 × 152,282
4. Step 4: Simplify right side
   75,105x = 23,189,807,524
5. Step 5: Solve for x
   x = 23,189,807,524/75,105
6. Step 6: Final answer
   x = 308,765.16