Finding the Third Proportional to 132,942 and 204,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,942 : 204,337.50 = 204,337.50 : x
2. Step 2: Convert to fraction form
   132,942/204,337.50 = 204,337.50/x
3. Step 3: Cross multiply
   132,942x = 204,337.50 × 204,337.50
4. Step 4: Simplify right side
   132,942x = 41,753,813,906.25
5. Step 5: Solve for x
   x = 41,753,813,906.25/132,942
6. Step 6: Final answer
   x = 314,075.42