Finding the Third Proportional to 37,705.50 and 80,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,705.50 : 80,230.50 = 80,230.50 : x
2. Step 2: Convert to fraction form
   37,705.50/80,230.50 = 80,230.50/x
3. Step 3: Cross multiply
   37,705.50x = 80,230.50 × 80,230.50
4. Step 4: Simplify right side
   37,705.50x = 6,436,933,130.25
5. Step 5: Solve for x
   x = 6,436,933,130.25/37,705.50
6. Step 6: Final answer
   x = 170,716.03