Finding the Third Proportional to 138,168.50 and 202,720

Step by Step Solution

1. Step 1: Write the proportion equation
   138,168.50 : 202,720 = 202,720 : x
2. Step 2: Convert to fraction form
   138,168.50/202,720 = 202,720/x
3. Step 3: Cross multiply
   138,168.50x = 202,720 × 202,720
4. Step 4: Simplify right side
   138,168.50x = 41,095,398,400
5. Step 5: Solve for x
   x = 41,095,398,400/138,168.50
6. Step 6: Final answer
   x = 297,429.58