Finding the Third Proportional to 50,076 and 77,301

Step by Step Solution

1. Step 1: Write the proportion equation
   50,076 : 77,301 = 77,301 : x
2. Step 2: Convert to fraction form
   50,076/77,301 = 77,301/x
3. Step 3: Cross multiply
   50,076x = 77,301 × 77,301
4. Step 4: Simplify right side
   50,076x = 5,975,444,601
5. Step 5: Solve for x
   x = 5,975,444,601/50,076
6. Step 6: Final answer
   x = 119,327.51