Finding the Third Proportional to 221,808 and 341,280

Step by Step Solution

1. Step 1: Write the proportion equation
   221,808 : 341,280 = 341,280 : x
2. Step 2: Convert to fraction form
   221,808/341,280 = 341,280/x
3. Step 3: Cross multiply
   221,808x = 341,280 × 341,280
4. Step 4: Simplify right side
   221,808x = 116,472,038,400
5. Step 5: Solve for x
   x = 116,472,038,400/221,808
6. Step 6: Final answer
   x = 525,102.96