Finding the Third Proportional to 355,006 and 775,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,006 : 775,063.50 = 775,063.50 : x
2. Step 2: Convert to fraction form
   355,006/775,063.50 = 775,063.50/x
3. Step 3: Cross multiply
   355,006x = 775,063.50 × 775,063.50
4. Step 4: Simplify right side
   355,006x = 600,723,429,032.25
5. Step 5: Solve for x
   x = 600,723,429,032.25/355,006
6. Step 6: Final answer
   x = 1,692,150.07