Finding the Third Proportional to 76,610 and 111,945

Step by Step Solution

1. Step 1: Write the proportion equation
   76,610 : 111,945 = 111,945 : x
2. Step 2: Convert to fraction form
   76,610/111,945 = 111,945/x
3. Step 3: Cross multiply
   76,610x = 111,945 × 111,945
4. Step 4: Simplify right side
   76,610x = 12,531,683,025
5. Step 5: Solve for x
   x = 12,531,683,025/76,610
6. Step 6: Final answer
   x = 163,577.64