Finding the Third Proportional to 50,020 and 77,426

Step by Step Solution

1. Step 1: Write the proportion equation
   50,020 : 77,426 = 77,426 : x
2. Step 2: Convert to fraction form
   50,020/77,426 = 77,426/x
3. Step 3: Cross multiply
   50,020x = 77,426 × 77,426
4. Step 4: Simplify right side
   50,020x = 5,994,785,476
5. Step 5: Solve for x
   x = 5,994,785,476/50,020
6. Step 6: Final answer
   x = 119,847.77