Finding the Third Proportional to 42,580 and 89,569.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,580 : 89,569.75 = 89,569.75 : x
2. Step 2: Convert to fraction form
   42,580/89,569.75 = 89,569.75/x
3. Step 3: Cross multiply
   42,580x = 89,569.75 × 89,569.75
4. Step 4: Simplify right side
   42,580x = 8,022,740,115.06
5. Step 5: Solve for x
   x = 8,022,740,115.06/42,580
6. Step 6: Final answer
   x = 188,415.69