Finding the Third Proportional to 152,258 and 327,846

Step by Step Solution

1. Step 1: Write the proportion equation
   152,258 : 327,846 = 327,846 : x
2. Step 2: Convert to fraction form
   152,258/327,846 = 327,846/x
3. Step 3: Cross multiply
   152,258x = 327,846 × 327,846
4. Step 4: Simplify right side
   152,258x = 107,482,999,716
5. Step 5: Solve for x
   x = 107,482,999,716/152,258
6. Step 6: Final answer
   x = 705,926.78