Finding the Third Proportional to 50,076 and 101,532

Step by Step Solution

1. Step 1: Write the proportion equation
   50,076 : 101,532 = 101,532 : x
2. Step 2: Convert to fraction form
   50,076/101,532 = 101,532/x
3. Step 3: Cross multiply
   50,076x = 101,532 × 101,532
4. Step 4: Simplify right side
   50,076x = 10,308,747,024
5. Step 5: Solve for x
   x = 10,308,747,024/50,076
6. Step 6: Final answer
   x = 205,862.03