Finding the Third Proportional to 132,264 and 199,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,264 : 199,627.50 = 199,627.50 : x
2. Step 2: Convert to fraction form
   132,264/199,627.50 = 199,627.50/x
3. Step 3: Cross multiply
   132,264x = 199,627.50 × 199,627.50
4. Step 4: Simplify right side
   132,264x = 39,851,138,756.25
5. Step 5: Solve for x
   x = 39,851,138,756.25/132,264
6. Step 6: Final answer
   x = 301,299.97