Finding the Third Proportional to 59,356 and 138,022

Step by Step Solution

1. Step 1: Write the proportion equation
   59,356 : 138,022 = 138,022 : x
2. Step 2: Convert to fraction form
   59,356/138,022 = 138,022/x
3. Step 3: Cross multiply
   59,356x = 138,022 × 138,022
4. Step 4: Simplify right side
   59,356x = 19,050,072,484
5. Step 5: Solve for x
   x = 19,050,072,484/59,356
6. Step 6: Final answer
   x = 320,946.03