Finding the Third Proportional to 111,114 and 176,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,114 : 176,512.50 = 176,512.50 : x
2. Step 2: Convert to fraction form
   111,114/176,512.50 = 176,512.50/x
3. Step 3: Cross multiply
   111,114x = 176,512.50 × 176,512.50
4. Step 4: Simplify right side
   111,114x = 31,156,662,656.25
5. Step 5: Solve for x
   x = 31,156,662,656.25/111,114
6. Step 6: Final answer
   x = 280,402.67