Finding the Third Proportional to 210,374 and 458,764

Step by Step Solution

1. Step 1: Write the proportion equation
   210,374 : 458,764 = 458,764 : x
2. Step 2: Convert to fraction form
   210,374/458,764 = 458,764/x
3. Step 3: Cross multiply
   210,374x = 458,764 × 458,764
4. Step 4: Simplify right side
   210,374x = 210,464,407,696
5. Step 5: Solve for x
   x = 210,464,407,696/210,374
6. Step 6: Final answer
   x = 1,000,429.75