Finding the Third Proportional to 523,380 and 830,096

Step by Step Solution

1. Step 1: Write the proportion equation
   523,380 : 830,096 = 830,096 : x
2. Step 2: Convert to fraction form
   523,380/830,096 = 830,096/x
3. Step 3: Cross multiply
   523,380x = 830,096 × 830,096
4. Step 4: Simplify right side
   523,380x = 689,059,369,216
5. Step 5: Solve for x
   x = 689,059,369,216/523,380
6. Step 6: Final answer
   x = 1,316,556.55