Finding the Third Proportional to 355,782 and 550,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,782 : 550,298.50 = 550,298.50 : x
2. Step 2: Convert to fraction form
   355,782/550,298.50 = 550,298.50/x
3. Step 3: Cross multiply
   355,782x = 550,298.50 × 550,298.50
4. Step 4: Simplify right side
   355,782x = 302,828,439,102.25
5. Step 5: Solve for x
   x = 302,828,439,102.25/355,782
6. Step 6: Final answer
   x = 851,162.90