Finding the Third Proportional to 213,068 and 463,704

Step by Step Solution

1. Step 1: Write the proportion equation
   213,068 : 463,704 = 463,704 : x
2. Step 2: Convert to fraction form
   213,068/463,704 = 463,704/x
3. Step 3: Cross multiply
   213,068x = 463,704 × 463,704
4. Step 4: Simplify right side
   213,068x = 215,021,399,616
5. Step 5: Solve for x
   x = 215,021,399,616/213,068
6. Step 6: Final answer
   x = 1,009,167.96