Finding the Third Proportional to 131,586 and 195,111

Step by Step Solution

1. Step 1: Write the proportion equation
   131,586 : 195,111 = 195,111 : x
2. Step 2: Convert to fraction form
   131,586/195,111 = 195,111/x
3. Step 3: Cross multiply
   131,586x = 195,111 × 195,111
4. Step 4: Simplify right side
   131,586x = 38,068,302,321
5. Step 5: Solve for x
   x = 38,068,302,321/131,586
6. Step 6: Final answer
   x = 289,303.59