Finding the Third Proportional to 221,415 and 343,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,415 : 343,783.50 = 343,783.50 : x
2. Step 2: Convert to fraction form
   221,415/343,783.50 = 343,783.50/x
3. Step 3: Cross multiply
   221,415x = 343,783.50 × 343,783.50
4. Step 4: Simplify right side
   221,415x = 118,187,094,872.25
5. Step 5: Solve for x
   x = 118,187,094,872.25/221,415
6. Step 6: Final answer
   x = 533,780.89