Finding the Third Proportional to 82,146 and 130,751

Step by Step Solution

1. Step 1: Write the proportion equation
   82,146 : 130,751 = 130,751 : x
2. Step 2: Convert to fraction form
   82,146/130,751 = 130,751/x
3. Step 3: Cross multiply
   82,146x = 130,751 × 130,751
4. Step 4: Simplify right side
   82,146x = 17,095,824,001
5. Step 5: Solve for x
   x = 17,095,824,001/82,146
6. Step 6: Final answer
   x = 208,115.11