Finding the Third Proportional to 164,846 and 353,014

Step by Step Solution

1. Step 1: Write the proportion equation
   164,846 : 353,014 = 353,014 : x
2. Step 2: Convert to fraction form
   164,846/353,014 = 353,014/x
3. Step 3: Cross multiply
   164,846x = 353,014 × 353,014
4. Step 4: Simplify right side
   164,846x = 124,618,884,196
5. Step 5: Solve for x
   x = 124,618,884,196/164,846
6. Step 6: Final answer
   x = 755,971.54