Finding the Third Proportional to 142,938 and 213,712.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,938 : 213,712.50 = 213,712.50 : x
2. Step 2: Convert to fraction form
   142,938/213,712.50 = 213,712.50/x
3. Step 3: Cross multiply
   142,938x = 213,712.50 × 213,712.50
4. Step 4: Simplify right side
   142,938x = 45,673,032,656.25
5. Step 5: Solve for x
   x = 45,673,032,656.25/142,938
6. Step 6: Final answer
   x = 319,530.37