Finding the Third Proportional to 355,857 and 550,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,857 : 550,414.50 = 550,414.50 : x
2. Step 2: Convert to fraction form
   355,857/550,414.50 = 550,414.50/x
3. Step 3: Cross multiply
   355,857x = 550,414.50 × 550,414.50
4. Step 4: Simplify right side
   355,857x = 302,956,121,810.25
5. Step 5: Solve for x
   x = 302,956,121,810.25/355,857
6. Step 6: Final answer
   x = 851,342.31