Finding the Third Proportional to 142,117.50 and 205,318.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,117.50 : 205,318.50 = 205,318.50 : x
2. Step 2: Convert to fraction form
   142,117.50/205,318.50 = 205,318.50/x
3. Step 3: Cross multiply
   142,117.50x = 205,318.50 × 205,318.50
4. Step 4: Simplify right side
   142,117.50x = 42,155,686,442.25
5. Step 5: Solve for x
   x = 42,155,686,442.25/142,117.50
6. Step 6: Final answer
   x = 296,625.58