Finding the Third Proportional to 164,919 and 224,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,919 : 224,032.50 = 224,032.50 : x
2. Step 2: Convert to fraction form
   164,919/224,032.50 = 224,032.50/x
3. Step 3: Cross multiply
   164,919x = 224,032.50 × 224,032.50
4. Step 4: Simplify right side
   164,919x = 50,190,561,056.25
5. Step 5: Solve for x
   x = 50,190,561,056.25/164,919
6. Step 6: Final answer
   x = 304,334.62