Finding the Third Proportional to 81,792 and 130,464

Step by Step Solution

1. Step 1: Write the proportion equation
   81,792 : 130,464 = 130,464 : x
2. Step 2: Convert to fraction form
   81,792/130,464 = 130,464/x
3. Step 3: Cross multiply
   81,792x = 130,464 × 130,464
4. Step 4: Simplify right side
   81,792x = 17,020,855,296
5. Step 5: Solve for x
   x = 17,020,855,296/81,792
6. Step 6: Final answer
   x = 208,099.27