Finding the Third Proportional to 142,006 and 207,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,006 : 207,516.50 = 207,516.50 : x
2. Step 2: Convert to fraction form
   142,006/207,516.50 = 207,516.50/x
3. Step 3: Cross multiply
   142,006x = 207,516.50 × 207,516.50
4. Step 4: Simplify right side
   142,006x = 43,063,097,772.25
5. Step 5: Solve for x
   x = 43,063,097,772.25/142,006
6. Step 6: Final answer
   x = 303,248.44