Finding the Third Proportional to 164,741.50 and 359,696

Step by Step Solution

1. Step 1: Write the proportion equation
   164,741.50 : 359,696 = 359,696 : x
2. Step 2: Convert to fraction form
   164,741.50/359,696 = 359,696/x
3. Step 3: Cross multiply
   164,741.50x = 359,696 × 359,696
4. Step 4: Simplify right side
   164,741.50x = 129,381,212,416
5. Step 5: Solve for x
   x = 129,381,212,416/164,741.50
6. Step 6: Final answer
   x = 785,358.96