Finding the Third Proportional to 79,186.50 and 164,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,186.50 : 164,902.50 = 164,902.50 : x
2. Step 2: Convert to fraction form
   79,186.50/164,902.50 = 164,902.50/x
3. Step 3: Cross multiply
   79,186.50x = 164,902.50 × 164,902.50
4. Step 4: Simplify right side
   79,186.50x = 27,192,834,506.25
5. Step 5: Solve for x
   x = 27,192,834,506.25/79,186.50
6. Step 6: Final answer
   x = 343,402.40