Finding the Third Proportional to 83,376 and 131,004

Step by Step Solution

1. Step 1: Write the proportion equation
   83,376 : 131,004 = 131,004 : x
2. Step 2: Convert to fraction form
   83,376/131,004 = 131,004/x
3. Step 3: Cross multiply
   83,376x = 131,004 × 131,004
4. Step 4: Simplify right side
   83,376x = 17,162,048,016
5. Step 5: Solve for x
   x = 17,162,048,016/83,376
6. Step 6: Final answer
   x = 205,839.19