Finding the Third Proportional to 218,389.50 and 293,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   218,389.50 : 293,467.50 = 293,467.50 : x
2. Step 2: Convert to fraction form
   218,389.50/293,467.50 = 293,467.50/x
3. Step 3: Cross multiply
   218,389.50x = 293,467.50 × 293,467.50
4. Step 4: Simplify right side
   218,389.50x = 86,123,173,556.25
5. Step 5: Solve for x
   x = 86,123,173,556.25/218,389.50
6. Step 6: Final answer
   x = 394,355.83