Finding the Third Proportional to 293,859.06 and 406,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   293,859.06 : 406,046.50 = 406,046.50 : x
2. Step 2: Convert to fraction form
   293,859.06/406,046.50 = 406,046.50/x
3. Step 3: Cross multiply
   293,859.06x = 406,046.50 × 406,046.50
4. Step 4: Simplify right side
   293,859.06x = 164,873,760,162.25
5. Step 5: Solve for x
   x = 164,873,760,162.25/293,859.06
6. Step 6: Final answer
   x = 561,064.07