Finding the Third Proportional to 202,518 and 468,846

Step by Step Solution

1. Step 1: Write the proportion equation
   202,518 : 468,846 = 468,846 : x
2. Step 2: Convert to fraction form
   202,518/468,846 = 468,846/x
3. Step 3: Cross multiply
   202,518x = 468,846 × 468,846
4. Step 4: Simplify right side
   202,518x = 219,816,571,716
5. Step 5: Solve for x
   x = 219,816,571,716/202,518
6. Step 6: Final answer
   x = 1,085,417.45