Finding the Third Proportional to 132,498 and 196,947

Step by Step Solution

1. Step 1: Write the proportion equation
   132,498 : 196,947 = 196,947 : x
2. Step 2: Convert to fraction form
   132,498/196,947 = 196,947/x
3. Step 3: Cross multiply
   132,498x = 196,947 × 196,947
4. Step 4: Simplify right side
   132,498x = 38,788,120,809
5. Step 5: Solve for x
   x = 38,788,120,809/132,498
6. Step 6: Final answer
   x = 292,744.95