Finding the Third Proportional to 424,467.50 and 642,168

Step by Step Solution

1. Step 1: Write the proportion equation
   424,467.50 : 642,168 = 642,168 : x
2. Step 2: Convert to fraction form
   424,467.50/642,168 = 642,168/x
3. Step 3: Cross multiply
   424,467.50x = 642,168 × 642,168
4. Step 4: Simplify right side
   424,467.50x = 412,379,740,224
5. Step 5: Solve for x
   x = 412,379,740,224/424,467.50
6. Step 6: Final answer
   x = 971,522.53