Finding the Third Proportional to 392,096 and 552,160

Step by Step Solution

1. Step 1: Write the proportion equation
   392,096 : 552,160 = 552,160 : x
2. Step 2: Convert to fraction form
   392,096/552,160 = 552,160/x
3. Step 3: Cross multiply
   392,096x = 552,160 × 552,160
4. Step 4: Simplify right side
   392,096x = 304,880,665,600
5. Step 5: Solve for x
   x = 304,880,665,600/392,096
6. Step 6: Final answer
   x = 777,566.38