Finding the Third Proportional to 83,072 and 130,560

Step by Step Solution

1. Step 1: Write the proportion equation
   83,072 : 130,560 = 130,560 : x
2. Step 2: Convert to fraction form
   83,072/130,560 = 130,560/x
3. Step 3: Cross multiply
   83,072x = 130,560 × 130,560
4. Step 4: Simplify right side
   83,072x = 17,045,913,600
5. Step 5: Solve for x
   x = 17,045,913,600/83,072
6. Step 6: Final answer
   x = 205,194.45