Finding the Third Proportional to 42,625 and 89,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,625 : 89,669.50 = 89,669.50 : x
2. Step 2: Convert to fraction form
   42,625/89,669.50 = 89,669.50/x
3. Step 3: Cross multiply
   42,625x = 89,669.50 × 89,669.50
4. Step 4: Simplify right side
   42,625x = 8,040,619,230.25
5. Step 5: Solve for x
   x = 8,040,619,230.25/42,625
6. Step 6: Final answer
   x = 188,636.23