Finding the Third Proportional to 112,846 and 174,166

Step by Step Solution

1. Step 1: Write the proportion equation
   112,846 : 174,166 = 174,166 : x
2. Step 2: Convert to fraction form
   112,846/174,166 = 174,166/x
3. Step 3: Cross multiply
   112,846x = 174,166 × 174,166
4. Step 4: Simplify right side
   112,846x = 30,333,795,556
5. Step 5: Solve for x
   x = 30,333,795,556/112,846
6. Step 6: Final answer
   x = 268,807.01