Finding the Third Proportional to 77,022 and 103,023

Step by Step Solution

1. Step 1: Write the proportion equation
   77,022 : 103,023 = 103,023 : x
2. Step 2: Convert to fraction form
   77,022/103,023 = 103,023/x
3. Step 3: Cross multiply
   77,022x = 103,023 × 103,023
4. Step 4: Simplify right side
   77,022x = 10,613,738,529
5. Step 5: Solve for x
   x = 10,613,738,529/77,022
6. Step 6: Final answer
   x = 137,801.39