Finding the Third Proportional to 124,128 and 185,696

Step by Step Solution

1. Step 1: Write the proportion equation
   124,128 : 185,696 = 185,696 : x
2. Step 2: Convert to fraction form
   124,128/185,696 = 185,696/x
3. Step 3: Cross multiply
   124,128x = 185,696 × 185,696
4. Step 4: Simplify right side
   124,128x = 34,483,004,416
5. Step 5: Solve for x
   x = 34,483,004,416/124,128
6. Step 6: Final answer
   x = 277,801.98