Finding the Third Proportional to 76,326 and 111,024

Step by Step Solution

1. Step 1: Write the proportion equation
   76,326 : 111,024 = 111,024 : x
2. Step 2: Convert to fraction form
   76,326/111,024 = 111,024/x
3. Step 3: Cross multiply
   76,326x = 111,024 × 111,024
4. Step 4: Simplify right side
   76,326x = 12,326,328,576
5. Step 5: Solve for x
   x = 12,326,328,576/76,326
6. Step 6: Final answer
   x = 161,495.80