Finding the Third Proportional to 195,926 and 400,154

Step by Step Solution

1. Step 1: Write the proportion equation
   195,926 : 400,154 = 400,154 : x
2. Step 2: Convert to fraction form
   195,926/400,154 = 400,154/x
3. Step 3: Cross multiply
   195,926x = 400,154 × 400,154
4. Step 4: Simplify right side
   195,926x = 160,123,223,716
5. Step 5: Solve for x
   x = 160,123,223,716/195,926
6. Step 6: Final answer
   x = 817,263.78