Finding the Third Proportional to 191,172 and 415,878

Step by Step Solution

1. Step 1: Write the proportion equation
   191,172 : 415,878 = 415,878 : x
2. Step 2: Convert to fraction form
   191,172/415,878 = 415,878/x
3. Step 3: Cross multiply
   191,172x = 415,878 × 415,878
4. Step 4: Simplify right side
   191,172x = 172,954,510,884
5. Step 5: Solve for x
   x = 172,954,510,884/191,172
6. Step 6: Final answer
   x = 904,706.29