Finding the Third Proportional to 149,577 and 224,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,577 : 224,467.50 = 224,467.50 : x
2. Step 2: Convert to fraction form
   149,577/224,467.50 = 224,467.50/x
3. Step 3: Cross multiply
   149,577x = 224,467.50 × 224,467.50
4. Step 4: Simplify right side
   149,577x = 50,385,658,556.25
5. Step 5: Solve for x
   x = 50,385,658,556.25/149,577
6. Step 6: Final answer
   x = 336,854.32