Finding the Third Proportional to 102,700 and 152,544

Step by Step Solution

1. Step 1: Write the proportion equation
   102,700 : 152,544 = 152,544 : x
2. Step 2: Convert to fraction form
   102,700/152,544 = 152,544/x
3. Step 3: Cross multiply
   102,700x = 152,544 × 152,544
4. Step 4: Simplify right side
   102,700x = 23,269,671,936
5. Step 5: Solve for x
   x = 23,269,671,936/102,700
6. Step 6: Final answer
   x = 226,579.08