Finding the Third Proportional to 42,188 and 89,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,188 : 89,119.50 = 89,119.50 : x
2. Step 2: Convert to fraction form
   42,188/89,119.50 = 89,119.50/x
3. Step 3: Cross multiply
   42,188x = 89,119.50 × 89,119.50
4. Step 4: Simplify right side
   42,188x = 7,942,285,280.25
5. Step 5: Solve for x
   x = 7,942,285,280.25/42,188
6. Step 6: Final answer
   x = 188,259.35