Finding the Third Proportional to 212,704 and 464,046

Step by Step Solution

1. Step 1: Write the proportion equation
   212,704 : 464,046 = 464,046 : x
2. Step 2: Convert to fraction form
   212,704/464,046 = 464,046/x
3. Step 3: Cross multiply
   212,704x = 464,046 × 464,046
4. Step 4: Simplify right side
   212,704x = 215,338,690,116
5. Step 5: Solve for x
   x = 215,338,690,116/212,704
6. Step 6: Final answer
   x = 1,012,386.65