Finding the Third Proportional to 117,225 and 181,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,225 : 181,399.50 = 181,399.50 : x
2. Step 2: Convert to fraction form
   117,225/181,399.50 = 181,399.50/x
3. Step 3: Cross multiply
   117,225x = 181,399.50 × 181,399.50
4. Step 4: Simplify right side
   117,225x = 32,905,778,600.25
5. Step 5: Solve for x
   x = 32,905,778,600.25/117,225
6. Step 6: Final answer
   x = 280,706.15