Finding the Third Proportional to 138,357 and 298,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,357 : 298,507.50 = 298,507.50 : x
2. Step 2: Convert to fraction form
   138,357/298,507.50 = 298,507.50/x
3. Step 3: Cross multiply
   138,357x = 298,507.50 × 298,507.50
4. Step 4: Simplify right side
   138,357x = 89,106,727,556.25
5. Step 5: Solve for x
   x = 89,106,727,556.25/138,357
6. Step 6: Final answer
   x = 644,034.83