Finding the Third Proportional to 293,886 and 413,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   293,886 : 413,855.50 = 413,855.50 : x
2. Step 2: Convert to fraction form
   293,886/413,855.50 = 413,855.50/x
3. Step 3: Cross multiply
   293,886x = 413,855.50 × 413,855.50
4. Step 4: Simplify right side
   293,886x = 171,276,374,880.25
5. Step 5: Solve for x
   x = 171,276,374,880.25/293,886
6. Step 6: Final answer
   x = 582,798.69