Finding the Third Proportional to 116,856 and 176,310

Step by Step Solution

1. Step 1: Write the proportion equation
   116,856 : 176,310 = 176,310 : x
2. Step 2: Convert to fraction form
   116,856/176,310 = 176,310/x
3. Step 3: Cross multiply
   116,856x = 176,310 × 176,310
4. Step 4: Simplify right side
   116,856x = 31,085,216,100
5. Step 5: Solve for x
   x = 31,085,216,100/116,856
6. Step 6: Final answer
   x = 266,013.01