Finding the Third Proportional to 384,102 and 825,066

Step by Step Solution

1. Step 1: Write the proportion equation
   384,102 : 825,066 = 825,066 : x
2. Step 2: Convert to fraction form
   384,102/825,066 = 825,066/x
3. Step 3: Cross multiply
   384,102x = 825,066 × 825,066
4. Step 4: Simplify right side
   384,102x = 680,733,904,356
5. Step 5: Solve for x
   x = 680,733,904,356/384,102
6. Step 6: Final answer
   x = 1,772,273.78