Finding the Third Proportional to 224,811 and 338,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,811 : 338,701.50 = 338,701.50 : x
2. Step 2: Convert to fraction form
   224,811/338,701.50 = 338,701.50/x
3. Step 3: Cross multiply
   224,811x = 338,701.50 × 338,701.50
4. Step 4: Simplify right side
   224,811x = 114,718,706,102.25
5. Step 5: Solve for x
   x = 114,718,706,102.25/224,811
6. Step 6: Final answer
   x = 510,289.56