Finding the Third Proportional to 96,570 and 201,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,570 : 201,964.50 = 201,964.50 : x
2. Step 2: Convert to fraction form
   96,570/201,964.50 = 201,964.50/x
3. Step 3: Cross multiply
   96,570x = 201,964.50 × 201,964.50
4. Step 4: Simplify right side
   96,570x = 40,789,659,260.25
5. Step 5: Solve for x
   x = 40,789,659,260.25/96,570
6. Step 6: Final answer
   x = 422,384.38