Finding the Third Proportional to 142,794 and 207,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,794 : 207,499.50 = 207,499.50 : x
2. Step 2: Convert to fraction form
   142,794/207,499.50 = 207,499.50/x
3. Step 3: Cross multiply
   142,794x = 207,499.50 × 207,499.50
4. Step 4: Simplify right side
   142,794x = 43,056,042,500.25
5. Step 5: Solve for x
   x = 43,056,042,500.25/142,794
6. Step 6: Final answer
   x = 301,525.57