Finding the Third Proportional to 83,500.50 and 169,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,500.50 : 169,917.50 = 169,917.50 : x
2. Step 2: Convert to fraction form
   83,500.50/169,917.50 = 169,917.50/x
3. Step 3: Cross multiply
   83,500.50x = 169,917.50 × 169,917.50
4. Step 4: Simplify right side
   83,500.50x = 28,871,956,806.25
5. Step 5: Solve for x
   x = 28,871,956,806.25/83,500.50
6. Step 6: Final answer
   x = 345,769.87