Finding the Third Proportional to 90,155 and 160,627

Step by Step Solution

1. Step 1: Write the proportion equation
   90,155 : 160,627 = 160,627 : x
2. Step 2: Convert to fraction form
   90,155/160,627 = 160,627/x
3. Step 3: Cross multiply
   90,155x = 160,627 × 160,627
4. Step 4: Simplify right side
   90,155x = 25,801,033,129
5. Step 5: Solve for x
   x = 25,801,033,129/90,155
6. Step 6: Final answer
   x = 286,185.27