Finding the Third Proportional to 83,498.50 and 169,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,498.50 : 169,912.50 = 169,912.50 : x
2. Step 2: Convert to fraction form
   83,498.50/169,912.50 = 169,912.50/x
3. Step 3: Cross multiply
   83,498.50x = 169,912.50 × 169,912.50
4. Step 4: Simplify right side
   83,498.50x = 28,870,257,656.25
5. Step 5: Solve for x
   x = 28,870,257,656.25/83,498.50
6. Step 6: Final answer
   x = 345,757.80