Finding the Third Proportional to 76,516 and 111,732

Step by Step Solution

1. Step 1: Write the proportion equation
   76,516 : 111,732 = 111,732 : x
2. Step 2: Convert to fraction form
   76,516/111,732 = 111,732/x
3. Step 3: Cross multiply
   76,516x = 111,732 × 111,732
4. Step 4: Simplify right side
   76,516x = 12,484,039,824
5. Step 5: Solve for x
   x = 12,484,039,824/76,516
6. Step 6: Final answer
   x = 163,155.94