Finding the Third Proportional to 111,776 and 226,792

Step by Step Solution

1. Step 1: Write the proportion equation
   111,776 : 226,792 = 226,792 : x
2. Step 2: Convert to fraction form
   111,776/226,792 = 226,792/x
3. Step 3: Cross multiply
   111,776x = 226,792 × 226,792
4. Step 4: Simplify right side
   111,776x = 51,434,611,264
5. Step 5: Solve for x
   x = 51,434,611,264/111,776
6. Step 6: Final answer
   x = 460,157.92