Finding the Third Proportional to 81,680 and 130,054

Step by Step Solution

1. Step 1: Write the proportion equation
   81,680 : 130,054 = 130,054 : x
2. Step 2: Convert to fraction form
   81,680/130,054 = 130,054/x
3. Step 3: Cross multiply
   81,680x = 130,054 × 130,054
4. Step 4: Simplify right side
   81,680x = 16,914,042,916
5. Step 5: Solve for x
   x = 16,914,042,916/81,680
6. Step 6: Final answer
   x = 207,076.92