Finding the Third Proportional to 102,690 and 152,529

Step by Step Solution

1. Step 1: Write the proportion equation
   102,690 : 152,529 = 152,529 : x
2. Step 2: Convert to fraction form
   102,690/152,529 = 152,529/x
3. Step 3: Cross multiply
   102,690x = 152,529 × 152,529
4. Step 4: Simplify right side
   102,690x = 23,265,095,841
5. Step 5: Solve for x
   x = 23,265,095,841/102,690
6. Step 6: Final answer
   x = 226,556.59