Finding the Third Proportional to 462,820 and 699,162

Step by Step Solution

1. Step 1: Write the proportion equation
   462,820 : 699,162 = 699,162 : x
2. Step 2: Convert to fraction form
   462,820/699,162 = 699,162/x
3. Step 3: Cross multiply
   462,820x = 699,162 × 699,162
4. Step 4: Simplify right side
   462,820x = 488,827,502,244
5. Step 5: Solve for x
   x = 488,827,502,244/462,820
6. Step 6: Final answer
   x = 1,056,193.56