Finding the Third Proportional to 41,406.50 and 89,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,406.50 : 89,426.50 = 89,426.50 : x
2. Step 2: Convert to fraction form
   41,406.50/89,426.50 = 89,426.50/x
3. Step 3: Cross multiply
   41,406.50x = 89,426.50 × 89,426.50
4. Step 4: Simplify right side
   41,406.50x = 7,997,098,902.25
5. Step 5: Solve for x
   x = 7,997,098,902.25/41,406.50
6. Step 6: Final answer
   x = 193,136.32