Finding the Third Proportional to 111,116 and 176,516

Step by Step Solution

1. Step 1: Write the proportion equation
   111,116 : 176,516 = 176,516 : x
2. Step 2: Convert to fraction form
   111,116/176,516 = 176,516/x
3. Step 3: Cross multiply
   111,116x = 176,516 × 176,516
4. Step 4: Simplify right side
   111,116x = 31,157,898,256
5. Step 5: Solve for x
   x = 31,157,898,256/111,116
6. Step 6: Final answer
   x = 280,408.75