Finding the Third Proportional to 146,916 and 321,516

Step by Step Solution

1. Step 1: Write the proportion equation
   146,916 : 321,516 = 321,516 : x
2. Step 2: Convert to fraction form
   146,916/321,516 = 321,516/x
3. Step 3: Cross multiply
   146,916x = 321,516 × 321,516
4. Step 4: Simplify right side
   146,916x = 103,372,538,256
5. Step 5: Solve for x
   x = 103,372,538,256/146,916
6. Step 6: Final answer
   x = 703,616.61