Finding the Third Proportional to 96,564 and 201,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,564 : 201,952.50 = 201,952.50 : x
2. Step 2: Convert to fraction form
   96,564/201,952.50 = 201,952.50/x
3. Step 3: Cross multiply
   96,564x = 201,952.50 × 201,952.50
4. Step 4: Simplify right side
   96,564x = 40,784,812,256.25
5. Step 5: Solve for x
   x = 40,784,812,256.25/96,564
6. Step 6: Final answer
   x = 422,360.43