Finding the Third Proportional to 42,716 and 102,023

Step by Step Solution

1. Step 1: Write the proportion equation
   42,716 : 102,023 = 102,023 : x
2. Step 2: Convert to fraction form
   42,716/102,023 = 102,023/x
3. Step 3: Cross multiply
   42,716x = 102,023 × 102,023
4. Step 4: Simplify right side
   42,716x = 10,408,692,529
5. Step 5: Solve for x
   x = 10,408,692,529/42,716
6. Step 6: Final answer
   x = 243,671.99