Finding the Third Proportional to 199,533 and 293,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,533 : 293,467.50 = 293,467.50 : x
2. Step 2: Convert to fraction form
   199,533/293,467.50 = 293,467.50/x
3. Step 3: Cross multiply
   199,533x = 293,467.50 × 293,467.50
4. Step 4: Simplify right side
   199,533x = 86,123,173,556.25
5. Step 5: Solve for x
   x = 86,123,173,556.25/199,533
6. Step 6: Final answer
   x = 431,623.71