Finding the Third Proportional to 72,508 and 102,109

Step by Step Solution

1. Step 1: Write the proportion equation
   72,508 : 102,109 = 102,109 : x
2. Step 2: Convert to fraction form
   72,508/102,109 = 102,109/x
3. Step 3: Cross multiply
   72,508x = 102,109 × 102,109
4. Step 4: Simplify right side
   72,508x = 10,426,247,881
5. Step 5: Solve for x
   x = 10,426,247,881/72,508
6. Step 6: Final answer
   x = 143,794.45