Finding the Third Proportional to 138,636 and 198,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,636 : 198,256.50 = 198,256.50 : x
2. Step 2: Convert to fraction form
   138,636/198,256.50 = 198,256.50/x
3. Step 3: Cross multiply
   138,636x = 198,256.50 × 198,256.50
4. Step 4: Simplify right side
   138,636x = 39,305,639,792.25
5. Step 5: Solve for x
   x = 39,305,639,792.25/138,636
6. Step 6: Final answer
   x = 283,516.83