Finding the Third Proportional to 77,018 and 103,020

Step by Step Solution

1. Step 1: Write the proportion equation
   77,018 : 103,020 = 103,020 : x
2. Step 2: Convert to fraction form
   77,018/103,020 = 103,020/x
3. Step 3: Cross multiply
   77,018x = 103,020 × 103,020
4. Step 4: Simplify right side
   77,018x = 10,613,120,400
5. Step 5: Solve for x
   x = 10,613,120,400/77,018
6. Step 6: Final answer
   x = 137,800.52