Finding the Third Proportional to 213,838 and 464,102

Step by Step Solution

1. Step 1: Write the proportion equation
   213,838 : 464,102 = 464,102 : x
2. Step 2: Convert to fraction form
   213,838/464,102 = 464,102/x
3. Step 3: Cross multiply
   213,838x = 464,102 × 464,102
4. Step 4: Simplify right side
   213,838x = 215,390,666,404
5. Step 5: Solve for x
   x = 215,390,666,404/213,838
6. Step 6: Final answer
   x = 1,007,260.95