Finding the Third Proportional to 122,408 and 188,210

Step by Step Solution

1. Step 1: Write the proportion equation
   122,408 : 188,210 = 188,210 : x
2. Step 2: Convert to fraction form
   122,408/188,210 = 188,210/x
3. Step 3: Cross multiply
   122,408x = 188,210 × 188,210
4. Step 4: Simplify right side
   122,408x = 35,423,004,100
5. Step 5: Solve for x
   x = 35,423,004,100/122,408
6. Step 6: Final answer
   x = 289,384.71