Finding the Third Proportional to 164,457 and 359,350

Step by Step Solution

1. Step 1: Write the proportion equation
   164,457 : 359,350 = 359,350 : x
2. Step 2: Convert to fraction form
   164,457/359,350 = 359,350/x
3. Step 3: Cross multiply
   164,457x = 359,350 × 359,350
4. Step 4: Simplify right side
   164,457x = 129,132,422,500
5. Step 5: Solve for x
   x = 129,132,422,500/164,457
6. Step 6: Final answer
   x = 785,204.78