Finding the Third Proportional to 152,680 and 327,968

Step by Step Solution

1. Step 1: Write the proportion equation
   152,680 : 327,968 = 327,968 : x
2. Step 2: Convert to fraction form
   152,680/327,968 = 327,968/x
3. Step 3: Cross multiply
   152,680x = 327,968 × 327,968
4. Step 4: Simplify right side
   152,680x = 107,563,009,024
5. Step 5: Solve for x
   x = 107,563,009,024/152,680
6. Step 6: Final answer
   x = 704,499.67