Finding the Third Proportional to 108,284 and 147,516

Step by Step Solution

1. Step 1: Write the proportion equation
   108,284 : 147,516 = 147,516 : x
2. Step 2: Convert to fraction form
   108,284/147,516 = 147,516/x
3. Step 3: Cross multiply
   108,284x = 147,516 × 147,516
4. Step 4: Simplify right side
   108,284x = 21,760,970,256
5. Step 5: Solve for x
   x = 21,760,970,256/108,284
6. Step 6: Final answer
   x = 200,962.01