Finding the Third Proportional to 410,724 and 882,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   410,724 : 882,164.25 = 882,164.25 : x
2. Step 2: Convert to fraction form
   410,724/882,164.25 = 882,164.25/x
3. Step 3: Cross multiply
   410,724x = 882,164.25 × 882,164.25
4. Step 4: Simplify right side
   410,724x = 778,213,763,978.06
5. Step 5: Solve for x
   x = 778,213,763,978.06/410,724
6. Step 6: Final answer
   x = 1,894,736.52