Finding the Third Proportional to 196,884 and 402,071

Step by Step Solution

1. Step 1: Write the proportion equation
   196,884 : 402,071 = 402,071 : x
2. Step 2: Convert to fraction form
   196,884/402,071 = 402,071/x
3. Step 3: Cross multiply
   196,884x = 402,071 × 402,071
4. Step 4: Simplify right side
   196,884x = 161,661,089,041
5. Step 5: Solve for x
   x = 161,661,089,041/196,884
6. Step 6: Final answer
   x = 821,098.15