Finding the Third Proportional to 50,094 and 77,031

Step by Step Solution

1. Step 1: Write the proportion equation
   50,094 : 77,031 = 77,031 : x
2. Step 2: Convert to fraction form
   50,094/77,031 = 77,031/x
3. Step 3: Cross multiply
   50,094x = 77,031 × 77,031
4. Step 4: Simplify right side
   50,094x = 5,933,774,961
5. Step 5: Solve for x
   x = 5,933,774,961/50,094
6. Step 6: Final answer
   x = 118,452.81