Finding the Third Proportional to 364,284 and 542,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,284 : 542,686.50 = 542,686.50 : x
2. Step 2: Convert to fraction form
   364,284/542,686.50 = 542,686.50/x
3. Step 3: Cross multiply
   364,284x = 542,686.50 × 542,686.50
4. Step 4: Simplify right side
   364,284x = 294,508,637,282.25
5. Step 5: Solve for x
   x = 294,508,637,282.25/364,284
6. Step 6: Final answer
   x = 808,458.89