Finding the Third Proportional to 122,174 and 269,200

Step by Step Solution

1. Step 1: Write the proportion equation
   122,174 : 269,200 = 269,200 : x
2. Step 2: Convert to fraction form
   122,174/269,200 = 269,200/x
3. Step 3: Cross multiply
   122,174x = 269,200 × 269,200
4. Step 4: Simplify right side
   122,174x = 72,468,640,000
5. Step 5: Solve for x
   x = 72,468,640,000/122,174
6. Step 6: Final answer
   x = 593,159.26