Finding the Third Proportional to 129,856.50 and 166,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,856.50 : 166,078.50 = 166,078.50 : x
2. Step 2: Convert to fraction form
   129,856.50/166,078.50 = 166,078.50/x
3. Step 3: Cross multiply
   129,856.50x = 166,078.50 × 166,078.50
4. Step 4: Simplify right side
   129,856.50x = 27,582,068,162.25
5. Step 5: Solve for x
   x = 27,582,068,162.25/129,856.50
6. Step 6: Final answer
   x = 212,404.22