Finding the Third Proportional to 315,648 and 468,672

Step by Step Solution

1. Step 1: Write the proportion equation
   315,648 : 468,672 = 468,672 : x
2. Step 2: Convert to fraction form
   315,648/468,672 = 468,672/x
3. Step 3: Cross multiply
   315,648x = 468,672 × 468,672
4. Step 4: Simplify right side
   315,648x = 219,653,443,584
5. Step 5: Solve for x
   x = 219,653,443,584/315,648
6. Step 6: Final answer
   x = 695,880.99