Finding the Third Proportional to 164,218.50 and 359,109

Step by Step Solution

1. Step 1: Write the proportion equation
   164,218.50 : 359,109 = 359,109 : x
2. Step 2: Convert to fraction form
   164,218.50/359,109 = 359,109/x
3. Step 3: Cross multiply
   164,218.50x = 359,109 × 359,109
4. Step 4: Simplify right side
   164,218.50x = 128,959,273,881
5. Step 5: Solve for x
   x = 128,959,273,881/164,218.50
6. Step 6: Final answer
   x = 785,290.78