Finding the Third Proportional to 196,795.50 and 407,595

Step by Step Solution

1. Step 1: Write the proportion equation
   196,795.50 : 407,595 = 407,595 : x
2. Step 2: Convert to fraction form
   196,795.50/407,595 = 407,595/x
3. Step 3: Cross multiply
   196,795.50x = 407,595 × 407,595
4. Step 4: Simplify right side
   196,795.50x = 166,133,684,025
5. Step 5: Solve for x
   x = 166,133,684,025/196,795.50
6. Step 6: Final answer
   x = 844,194.53