Finding the Third Proportional to 103,688 and 155,496

Step by Step Solution

1. Step 1: Write the proportion equation
   103,688 : 155,496 = 155,496 : x
2. Step 2: Convert to fraction form
   103,688/155,496 = 155,496/x
3. Step 3: Cross multiply
   103,688x = 155,496 × 155,496
4. Step 4: Simplify right side
   103,688x = 24,179,006,016
5. Step 5: Solve for x
   x = 24,179,006,016/103,688
6. Step 6: Final answer
   x = 233,190.01