Finding the Third Proportional to 79,189.50 and 164,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,189.50 : 164,908.50 = 164,908.50 : x
2. Step 2: Convert to fraction form
   79,189.50/164,908.50 = 164,908.50/x
3. Step 3: Cross multiply
   79,189.50x = 164,908.50 × 164,908.50
4. Step 4: Simplify right side
   79,189.50x = 27,194,813,372.25
5. Step 5: Solve for x
   x = 27,194,813,372.25/79,189.50
6. Step 6: Final answer
   x = 343,414.38