Finding the Third Proportional to 210,822 and 460,964

Step by Step Solution

1. Step 1: Write the proportion equation
   210,822 : 460,964 = 460,964 : x
2. Step 2: Convert to fraction form
   210,822/460,964 = 460,964/x
3. Step 3: Cross multiply
   210,822x = 460,964 × 460,964
4. Step 4: Simplify right side
   210,822x = 212,487,809,296
5. Step 5: Solve for x
   x = 212,487,809,296/210,822
6. Step 6: Final answer
   x = 1,007,901.50