Finding the Third Proportional to 102,108 and 152,546

Step by Step Solution

1. Step 1: Write the proportion equation
   102,108 : 152,546 = 152,546 : x
2. Step 2: Convert to fraction form
   102,108/152,546 = 152,546/x
3. Step 3: Cross multiply
   102,108x = 152,546 × 152,546
4. Step 4: Simplify right side
   102,108x = 23,270,282,116
5. Step 5: Solve for x
   x = 23,270,282,116/102,108
6. Step 6: Final answer
   x = 227,898.72