Finding the Third Proportional to 76,146 and 111,621

Step by Step Solution

1. Step 1: Write the proportion equation
   76,146 : 111,621 = 111,621 : x
2. Step 2: Convert to fraction form
   76,146/111,621 = 111,621/x
3. Step 3: Cross multiply
   76,146x = 111,621 × 111,621
4. Step 4: Simplify right side
   76,146x = 12,459,247,641
5. Step 5: Solve for x
   x = 12,459,247,641/76,146
6. Step 6: Final answer
   x = 163,623.14