Finding the Third Proportional to 221,760 and 347,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,760 : 347,476.50 = 347,476.50 : x
2. Step 2: Convert to fraction form
   221,760/347,476.50 = 347,476.50/x
3. Step 3: Cross multiply
   221,760x = 347,476.50 × 347,476.50
4. Step 4: Simplify right side
   221,760x = 120,739,918,052.25
5. Step 5: Solve for x
   x = 120,739,918,052.25/221,760
6. Step 6: Final answer
   x = 544,462.11