Finding the Third Proportional to 42,519 and 89,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,519 : 89,647.50 = 89,647.50 : x
2. Step 2: Convert to fraction form
   42,519/89,647.50 = 89,647.50/x
3. Step 3: Cross multiply
   42,519x = 89,647.50 × 89,647.50
4. Step 4: Simplify right side
   42,519x = 8,036,674,256.25
5. Step 5: Solve for x
   x = 8,036,674,256.25/42,519
6. Step 6: Final answer
   x = 189,013.72