Finding the Third Proportional to 168,435 and 365,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   168,435 : 365,198.50 = 365,198.50 : x
2. Step 2: Convert to fraction form
   168,435/365,198.50 = 365,198.50/x
3. Step 3: Cross multiply
   168,435x = 365,198.50 × 365,198.50
4. Step 4: Simplify right side
   168,435x = 133,369,944,402.25
5. Step 5: Solve for x
   x = 133,369,944,402.25/168,435
6. Step 6: Final answer
   x = 791,818.47