Finding the Third Proportional to 363,114 and 769,421.25

Step by Step Solution

1. Step 1: Write the proportion equation
   363,114 : 769,421.25 = 769,421.25 : x
2. Step 2: Convert to fraction form
   363,114/769,421.25 = 769,421.25/x
3. Step 3: Cross multiply
   363,114x = 769,421.25 × 769,421.25
4. Step 4: Simplify right side
   363,114x = 592,009,059,951.56
5. Step 5: Solve for x
   x = 592,009,059,951.56/363,114
6. Step 6: Final answer
   x = 1,630,366.94