Finding the Third Proportional to 82,977 and 123,924

Step by Step Solution

1. Step 1: Write the proportion equation
   82,977 : 123,924 = 123,924 : x
2. Step 2: Convert to fraction form
   82,977/123,924 = 123,924/x
3. Step 3: Cross multiply
   82,977x = 123,924 × 123,924
4. Step 4: Simplify right side
   82,977x = 15,357,157,776
5. Step 5: Solve for x
   x = 15,357,157,776/82,977
6. Step 6: Final answer
   x = 185,077.28