Finding the Third Proportional to 196,882 and 402,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,882 : 402,066.50 = 402,066.50 : x
2. Step 2: Convert to fraction form
   196,882/402,066.50 = 402,066.50/x
3. Step 3: Cross multiply
   196,882x = 402,066.50 × 402,066.50
4. Step 4: Simplify right side
   196,882x = 161,657,470,422.25
5. Step 5: Solve for x
   x = 161,657,470,422.25/196,882
6. Step 6: Final answer
   x = 821,088.12