Finding the Third Proportional to 407,460 and 896,144

Step by Step Solution

1. Step 1: Write the proportion equation
   407,460 : 896,144 = 896,144 : x
2. Step 2: Convert to fraction form
   407,460/896,144 = 896,144/x
3. Step 3: Cross multiply
   407,460x = 896,144 × 896,144
4. Step 4: Simplify right side
   407,460x = 803,074,068,736
5. Step 5: Solve for x
   x = 803,074,068,736/407,460
6. Step 6: Final answer
   x = 1,970,927.38