Finding the Third Proportional to 142,956 and 209,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,956 : 209,657.50 = 209,657.50 : x
2. Step 2: Convert to fraction form
   142,956/209,657.50 = 209,657.50/x
3. Step 3: Cross multiply
   142,956x = 209,657.50 × 209,657.50
4. Step 4: Simplify right side
   142,956x = 43,956,267,306.25
5. Step 5: Solve for x
   x = 43,956,267,306.25/142,956
6. Step 6: Final answer
   x = 307,481.09