Finding the Third Proportional to 138,105 and 202,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,105 : 202,783.50 = 202,783.50 : x
2. Step 2: Convert to fraction form
   138,105/202,783.50 = 202,783.50/x
3. Step 3: Cross multiply
   138,105x = 202,783.50 × 202,783.50
4. Step 4: Simplify right side
   138,105x = 41,121,147,872.25
5. Step 5: Solve for x
   x = 41,121,147,872.25/138,105
6. Step 6: Final answer
   x = 297,752.78