Finding the Third Proportional to 109,748 and 166,158

Step by Step Solution

1. Step 1: Write the proportion equation
   109,748 : 166,158 = 166,158 : x
2. Step 2: Convert to fraction form
   109,748/166,158 = 166,158/x
3. Step 3: Cross multiply
   109,748x = 166,158 × 166,158
4. Step 4: Simplify right side
   109,748x = 27,608,480,964
5. Step 5: Solve for x
   x = 27,608,480,964/109,748
6. Step 6: Final answer
   x = 251,562.50