Finding the Third Proportional to 138,541.50 and 298,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,541.50 : 298,273.50 = 298,273.50 : x
2. Step 2: Convert to fraction form
   138,541.50/298,273.50 = 298,273.50/x
3. Step 3: Cross multiply
   138,541.50x = 298,273.50 × 298,273.50
4. Step 4: Simplify right side
   138,541.50x = 88,967,080,802.25
5. Step 5: Solve for x
   x = 88,967,080,802.25/138,541.50
6. Step 6: Final answer
   x = 642,169.18