Finding the Third Proportional to 103,746 and 160,222

Step by Step Solution

1. Step 1: Write the proportion equation
   103,746 : 160,222 = 160,222 : x
2. Step 2: Convert to fraction form
   103,746/160,222 = 160,222/x
3. Step 3: Cross multiply
   103,746x = 160,222 × 160,222
4. Step 4: Simplify right side
   103,746x = 25,671,089,284
5. Step 5: Solve for x
   x = 25,671,089,284/103,746
6. Step 6: Final answer
   x = 247,441.73