Finding the Third Proportional to 221,742 and 341,300

Step by Step Solution

1. Step 1: Write the proportion equation
   221,742 : 341,300 = 341,300 : x
2. Step 2: Convert to fraction form
   221,742/341,300 = 341,300/x
3. Step 3: Cross multiply
   221,742x = 341,300 × 341,300
4. Step 4: Simplify right side
   221,742x = 116,485,690,000
5. Step 5: Solve for x
   x = 116,485,690,000/221,742
6. Step 6: Final answer
   x = 525,320.82