Finding the Third Proportional to 83,527 and 171,130

Step by Step Solution

1. Step 1: Write the proportion equation
   83,527 : 171,130 = 171,130 : x
2. Step 2: Convert to fraction form
   83,527/171,130 = 171,130/x
3. Step 3: Cross multiply
   83,527x = 171,130 × 171,130
4. Step 4: Simplify right side
   83,527x = 29,285,476,900
5. Step 5: Solve for x
   x = 29,285,476,900/83,527
6. Step 6: Final answer
   x = 350,610.90