Finding the Third Proportional to 122,801 and 190,196

Step by Step Solution

1. Step 1: Write the proportion equation
   122,801 : 190,196 = 190,196 : x
2. Step 2: Convert to fraction form
   122,801/190,196 = 190,196/x
3. Step 3: Cross multiply
   122,801x = 190,196 × 190,196
4. Step 4: Simplify right side
   122,801x = 36,174,518,416
5. Step 5: Solve for x
   x = 36,174,518,416/122,801
6. Step 6: Final answer
   x = 294,578.37