Finding the Third Proportional to 406,096 and 891,168

Step by Step Solution

1. Step 1: Write the proportion equation
   406,096 : 891,168 = 891,168 : x
2. Step 2: Convert to fraction form
   406,096/891,168 = 891,168/x
3. Step 3: Cross multiply
   406,096x = 891,168 × 891,168
4. Step 4: Simplify right side
   406,096x = 794,180,404,224
5. Step 5: Solve for x
   x = 794,180,404,224/406,096
6. Step 6: Final answer
   x = 1,955,646.95