Finding the Third Proportional to 213,532 and 464,648

Step by Step Solution

1. Step 1: Write the proportion equation
   213,532 : 464,648 = 464,648 : x
2. Step 2: Convert to fraction form
   213,532/464,648 = 464,648/x
3. Step 3: Cross multiply
   213,532x = 464,648 × 464,648
4. Step 4: Simplify right side
   213,532x = 215,897,763,904
5. Step 5: Solve for x
   x = 215,897,763,904/213,532
6. Step 6: Final answer
   x = 1,011,079.20