Finding the Third Proportional to 132,684 and 195,111

Step by Step Solution

1. Step 1: Write the proportion equation
   132,684 : 195,111 = 195,111 : x
2. Step 2: Convert to fraction form
   132,684/195,111 = 195,111/x
3. Step 3: Cross multiply
   132,684x = 195,111 × 195,111
4. Step 4: Simplify right side
   132,684x = 38,068,302,321
5. Step 5: Solve for x
   x = 38,068,302,321/132,684
6. Step 6: Final answer
   x = 286,909.52