Finding the Third Proportional to 132,853 and 197,397.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,853 : 197,397.50 = 197,397.50 : x
2. Step 2: Convert to fraction form
   132,853/197,397.50 = 197,397.50/x
3. Step 3: Cross multiply
   132,853x = 197,397.50 × 197,397.50
4. Step 4: Simplify right side
   132,853x = 38,965,773,006.25
5. Step 5: Solve for x
   x = 38,965,773,006.25/132,853
6. Step 6: Final answer
   x = 293,299.91