Finding the Third Proportional to 83,349 and 196,632

Step by Step Solution

1. Step 1: Write the proportion equation
   83,349 : 196,632 = 196,632 : x
2. Step 2: Convert to fraction form
   83,349/196,632 = 196,632/x
3. Step 3: Cross multiply
   83,349x = 196,632 × 196,632
4. Step 4: Simplify right side
   83,349x = 38,664,143,424
5. Step 5: Solve for x
   x = 38,664,143,424/83,349
6. Step 6: Final answer
   x = 463,882.51