Finding the Third Proportional to 185,760 and 334,656

Step by Step Solution

1. Step 1: Write the proportion equation
   185,760 : 334,656 = 334,656 : x
2. Step 2: Convert to fraction form
   185,760/334,656 = 334,656/x
3. Step 3: Cross multiply
   185,760x = 334,656 × 334,656
4. Step 4: Simplify right side
   185,760x = 111,994,638,336
5. Step 5: Solve for x
   x = 111,994,638,336/185,760
6. Step 6: Final answer
   x = 602,899.65