Finding the Third Proportional to 227,820 and 345,132

Step by Step Solution

1. Step 1: Write the proportion equation
   227,820 : 345,132 = 345,132 : x
2. Step 2: Convert to fraction form
   227,820/345,132 = 345,132/x
3. Step 3: Cross multiply
   227,820x = 345,132 × 345,132
4. Step 4: Simplify right side
   227,820x = 119,116,097,424
5. Step 5: Solve for x
   x = 119,116,097,424/227,820
6. Step 6: Final answer
   x = 522,851.80