Finding the Third Proportional to 52,532 and 83,180

Step by Step Solution

1. Step 1: Write the proportion equation
   52,532 : 83,180 = 83,180 : x
2. Step 2: Convert to fraction form
   52,532/83,180 = 83,180/x
3. Step 3: Cross multiply
   52,532x = 83,180 × 83,180
4. Step 4: Simplify right side
   52,532x = 6,918,912,400
5. Step 5: Solve for x
   x = 6,918,912,400/52,532
6. Step 6: Final answer
   x = 131,708.53