Finding the Third Proportional to 314,724 and 499,116

Step by Step Solution

1. Step 1: Write the proportion equation
   314,724 : 499,116 = 499,116 : x
2. Step 2: Convert to fraction form
   314,724/499,116 = 499,116/x
3. Step 3: Cross multiply
   314,724x = 499,116 × 499,116
4. Step 4: Simplify right side
   314,724x = 249,116,781,456
5. Step 5: Solve for x
   x = 249,116,781,456/314,724
6. Step 6: Final answer
   x = 791,540.47