Finding the Third Proportional to 79,182 and 164,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,182 : 164,917.50 = 164,917.50 : x
2. Step 2: Convert to fraction form
   79,182/164,917.50 = 164,917.50/x
3. Step 3: Cross multiply
   79,182x = 164,917.50 × 164,917.50
4. Step 4: Simplify right side
   79,182x = 27,197,781,806.25
5. Step 5: Solve for x
   x = 27,197,781,806.25/79,182
6. Step 6: Final answer
   x = 343,484.40