Finding the Third Proportional to 132,975 and 206,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,975 : 206,023.50 = 206,023.50 : x
2. Step 2: Convert to fraction form
   132,975/206,023.50 = 206,023.50/x
3. Step 3: Cross multiply
   132,975x = 206,023.50 × 206,023.50
4. Step 4: Simplify right side
   132,975x = 42,445,682,552.25
5. Step 5: Solve for x
   x = 42,445,682,552.25/132,975
6. Step 6: Final answer
   x = 319,200.47