Finding the Third Proportional to 196,644 and 300,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,644 : 300,697.50 = 300,697.50 : x
2. Step 2: Convert to fraction form
   196,644/300,697.50 = 300,697.50/x
3. Step 3: Cross multiply
   196,644x = 300,697.50 × 300,697.50
4. Step 4: Simplify right side
   196,644x = 90,418,986,506.25
5. Step 5: Solve for x
   x = 90,418,986,506.25/196,644
6. Step 6: Final answer
   x = 459,810.55