Finding the Third Proportional to 293,888 and 413,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   293,888 : 413,859.50 = 413,859.50 : x
2. Step 2: Convert to fraction form
   293,888/413,859.50 = 413,859.50/x
3. Step 3: Cross multiply
   293,888x = 413,859.50 × 413,859.50
4. Step 4: Simplify right side
   293,888x = 171,279,685,740.25
5. Step 5: Solve for x
   x = 171,279,685,740.25/293,888
6. Step 6: Final answer
   x = 582,805.99