Finding the Third Proportional to 123,664 and 174,696

Step by Step Solution

1. Step 1: Write the proportion equation
   123,664 : 174,696 = 174,696 : x
2. Step 2: Convert to fraction form
   123,664/174,696 = 174,696/x
3. Step 3: Cross multiply
   123,664x = 174,696 × 174,696
4. Step 4: Simplify right side
   123,664x = 30,518,692,416
5. Step 5: Solve for x
   x = 30,518,692,416/123,664
6. Step 6: Final answer
   x = 246,787.20