Finding the Third Proportional to 355,002 and 775,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,002 : 775,055.50 = 775,055.50 : x
2. Step 2: Convert to fraction form
   355,002/775,055.50 = 775,055.50/x
3. Step 3: Cross multiply
   355,002x = 775,055.50 × 775,055.50
4. Step 4: Simplify right side
   355,002x = 600,711,028,080.25
5. Step 5: Solve for x
   x = 600,711,028,080.25/355,002
6. Step 6: Final answer
   x = 1,692,134.21