Finding the Third Proportional to 421,164 and 900,216

Step by Step Solution

1. Step 1: Write the proportion equation
   421,164 : 900,216 = 900,216 : x
2. Step 2: Convert to fraction form
   421,164/900,216 = 900,216/x
3. Step 3: Cross multiply
   421,164x = 900,216 × 900,216
4. Step 4: Simplify right side
   421,164x = 810,388,846,656
5. Step 5: Solve for x
   x = 810,388,846,656/421,164
6. Step 6: Final answer
   x = 1,924,164.57