Finding the Third Proportional to 137,664 and 185,760

Step by Step Solution

1. Step 1: Write the proportion equation
   137,664 : 185,760 = 185,760 : x
2. Step 2: Convert to fraction form
   137,664/185,760 = 185,760/x
3. Step 3: Cross multiply
   137,664x = 185,760 × 185,760
4. Step 4: Simplify right side
   137,664x = 34,506,777,600
5. Step 5: Solve for x
   x = 34,506,777,600/137,664
6. Step 6: Final answer
   x = 250,659.41