Finding the Third Proportional to 455,478 and 681,111

Step by Step Solution

1. Step 1: Write the proportion equation
   455,478 : 681,111 = 681,111 : x
2. Step 2: Convert to fraction form
   455,478/681,111 = 681,111/x
3. Step 3: Cross multiply
   455,478x = 681,111 × 681,111
4. Step 4: Simplify right side
   455,478x = 463,912,194,321
5. Step 5: Solve for x
   x = 463,912,194,321/455,478
6. Step 6: Final answer
   x = 1,018,517.24