Finding the Third Proportional to 82,106 and 130,530

Step by Step Solution

1. Step 1: Write the proportion equation
   82,106 : 130,530 = 130,530 : x
2. Step 2: Convert to fraction form
   82,106/130,530 = 130,530/x
3. Step 3: Cross multiply
   82,106x = 130,530 × 130,530
4. Step 4: Simplify right side
   82,106x = 17,038,080,900
5. Step 5: Solve for x
   x = 17,038,080,900/82,106
6. Step 6: Final answer
   x = 207,513.23