Finding the Third Proportional to 135,787.50 and 205,938

Step by Step Solution

1. Step 1: Write the proportion equation
   135,787.50 : 205,938 = 205,938 : x
2. Step 2: Convert to fraction form
   135,787.50/205,938 = 205,938/x
3. Step 3: Cross multiply
   135,787.50x = 205,938 × 205,938
4. Step 4: Simplify right side
   135,787.50x = 42,410,459,844
5. Step 5: Solve for x
   x = 42,410,459,844/135,787.50
6. Step 6: Final answer
   x = 312,329.63