Finding the Third Proportional to 74,499 and 152,277

Step by Step Solution

1. Step 1: Write the proportion equation
   74,499 : 152,277 = 152,277 : x
2. Step 2: Convert to fraction form
   74,499/152,277 = 152,277/x
3. Step 3: Cross multiply
   74,499x = 152,277 × 152,277
4. Step 4: Simplify right side
   74,499x = 23,188,284,729
5. Step 5: Solve for x
   x = 23,188,284,729/74,499
6. Step 6: Final answer
   x = 311,256.32