Finding the Third Proportional to 196,141.50 and 415,827

Step by Step Solution

1. Step 1: Write the proportion equation
   196,141.50 : 415,827 = 415,827 : x
2. Step 2: Convert to fraction form
   196,141.50/415,827 = 415,827/x
3. Step 3: Cross multiply
   196,141.50x = 415,827 × 415,827
4. Step 4: Simplify right side
   196,141.50x = 172,912,093,929
5. Step 5: Solve for x
   x = 172,912,093,929/196,141.50
6. Step 6: Final answer
   x = 881,568.12