Finding the Third Proportional to 164,123 and 353,354

Step by Step Solution

1. Step 1: Write the proportion equation
   164,123 : 353,354 = 353,354 : x
2. Step 2: Convert to fraction form
   164,123/353,354 = 353,354/x
3. Step 3: Cross multiply
   164,123x = 353,354 × 353,354
4. Step 4: Simplify right side
   164,123x = 124,859,049,316
5. Step 5: Solve for x
   x = 124,859,049,316/164,123
6. Step 6: Final answer
   x = 760,765.09