Finding the Third Proportional to 147,264 and 315,168

Step by Step Solution

1. Step 1: Write the proportion equation
   147,264 : 315,168 = 315,168 : x
2. Step 2: Convert to fraction form
   147,264/315,168 = 315,168/x
3. Step 3: Cross multiply
   147,264x = 315,168 × 315,168
4. Step 4: Simplify right side
   147,264x = 99,330,868,224
5. Step 5: Solve for x
   x = 99,330,868,224/147,264
6. Step 6: Final answer
   x = 674,508.83