Finding the Third Proportional to 132,256.50 and 201,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,256.50 : 201,152.50 = 201,152.50 : x
2. Step 2: Convert to fraction form
   132,256.50/201,152.50 = 201,152.50/x
3. Step 3: Cross multiply
   132,256.50x = 201,152.50 × 201,152.50
4. Step 4: Simplify right side
   132,256.50x = 40,462,328,256.25
5. Step 5: Solve for x
   x = 40,462,328,256.25/132,256.50
6. Step 6: Final answer
   x = 305,938.30