Finding the Third Proportional to 147,856 and 335,194

Step by Step Solution

1. Step 1: Write the proportion equation
   147,856 : 335,194 = 335,194 : x
2. Step 2: Convert to fraction form
   147,856/335,194 = 335,194/x
3. Step 3: Cross multiply
   147,856x = 335,194 × 335,194
4. Step 4: Simplify right side
   147,856x = 112,355,017,636
5. Step 5: Solve for x
   x = 112,355,017,636/147,856
6. Step 6: Final answer
   x = 759,894.88