Finding the Third Proportional to 201,150 and 397,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,150 : 397,165.50 = 397,165.50 : x
2. Step 2: Convert to fraction form
   201,150/397,165.50 = 397,165.50/x
3. Step 3: Cross multiply
   201,150x = 397,165.50 × 397,165.50
4. Step 4: Simplify right side
   201,150x = 157,740,434,390.25
5. Step 5: Solve for x
   x = 157,740,434,390.25/201,150
6. Step 6: Final answer
   x = 784,193.06