Finding the Third Proportional to 196,881 and 402,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,881 : 402,064.50 = 402,064.50 : x
2. Step 2: Convert to fraction form
   196,881/402,064.50 = 402,064.50/x
3. Step 3: Cross multiply
   196,881x = 402,064.50 × 402,064.50
4. Step 4: Simplify right side
   196,881x = 161,655,862,160.25
5. Step 5: Solve for x
   x = 161,655,862,160.25/196,881
6. Step 6: Final answer
   x = 821,084.12