Finding the Third Proportional to 102,155 and 143,023

Step by Step Solution

1. Step 1: Write the proportion equation
   102,155 : 143,023 = 143,023 : x
2. Step 2: Convert to fraction form
   102,155/143,023 = 143,023/x
3. Step 3: Cross multiply
   102,155x = 143,023 × 143,023
4. Step 4: Simplify right side
   102,155x = 20,455,578,529
5. Step 5: Solve for x
   x = 20,455,578,529/102,155
6. Step 6: Final answer
   x = 200,240.60