Finding the Third Proportional to 132,500 and 196,948

Step by Step Solution

1. Step 1: Write the proportion equation
   132,500 : 196,948 = 196,948 : x
2. Step 2: Convert to fraction form
   132,500/196,948 = 196,948/x
3. Step 3: Cross multiply
   132,500x = 196,948 × 196,948
4. Step 4: Simplify right side
   132,500x = 38,788,514,704
5. Step 5: Solve for x
   x = 38,788,514,704/132,500
6. Step 6: Final answer
   x = 292,743.51