Finding the Third Proportional to 142,957 and 210,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,957 : 210,277.50 = 210,277.50 : x
2. Step 2: Convert to fraction form
   142,957/210,277.50 = 210,277.50/x
3. Step 3: Cross multiply
   142,957x = 210,277.50 × 210,277.50
4. Step 4: Simplify right side
   142,957x = 44,216,627,006.25
5. Step 5: Solve for x
   x = 44,216,627,006.25/142,957
6. Step 6: Final answer
   x = 309,300.19