Finding the Third Proportional to 90,101 and 122,164

Step by Step Solution

1. Step 1: Write the proportion equation
   90,101 : 122,164 = 122,164 : x
2. Step 2: Convert to fraction form
   90,101/122,164 = 122,164/x
3. Step 3: Cross multiply
   90,101x = 122,164 × 122,164
4. Step 4: Simplify right side
   90,101x = 14,924,042,896
5. Step 5: Solve for x
   x = 14,924,042,896/90,101
6. Step 6: Final answer
   x = 165,636.82