Finding the Third Proportional to 83,016 and 130,572

Step by Step Solution

1. Step 1: Write the proportion equation
   83,016 : 130,572 = 130,572 : x
2. Step 2: Convert to fraction form
   83,016/130,572 = 130,572/x
3. Step 3: Cross multiply
   83,016x = 130,572 × 130,572
4. Step 4: Simplify right side
   83,016x = 17,049,047,184
5. Step 5: Solve for x
   x = 17,049,047,184/83,016
6. Step 6: Final answer
   x = 205,370.62