Finding the Third Proportional to 164,340 and 234,846

Step by Step Solution

1. Step 1: Write the proportion equation
   164,340 : 234,846 = 234,846 : x
2. Step 2: Convert to fraction form
   164,340/234,846 = 234,846/x
3. Step 3: Cross multiply
   164,340x = 234,846 × 234,846
4. Step 4: Simplify right side
   164,340x = 55,152,643,716
5. Step 5: Solve for x
   x = 55,152,643,716/164,340
6. Step 6: Final answer
   x = 335,600.85