Finding the Third Proportional to 110,746 and 237,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,746 : 237,227.50 = 237,227.50 : x
2. Step 2: Convert to fraction form
   110,746/237,227.50 = 237,227.50/x
3. Step 3: Cross multiply
   110,746x = 237,227.50 × 237,227.50
4. Step 4: Simplify right side
   110,746x = 56,276,886,756.25
5. Step 5: Solve for x
   x = 56,276,886,756.25/110,746
6. Step 6: Final answer
   x = 508,161.80