Finding the Third Proportional to 150,968 and 314,328

Step by Step Solution

1. Step 1: Write the proportion equation
   150,968 : 314,328 = 314,328 : x
2. Step 2: Convert to fraction form
   150,968/314,328 = 314,328/x
3. Step 3: Cross multiply
   150,968x = 314,328 × 314,328
4. Step 4: Simplify right side
   150,968x = 98,802,091,584
5. Step 5: Solve for x
   x = 98,802,091,584/150,968
6. Step 6: Final answer
   x = 654,457.18