Finding the Third Proportional to 109,748 and 166,152

Step by Step Solution

1. Step 1: Write the proportion equation
   109,748 : 166,152 = 166,152 : x
2. Step 2: Convert to fraction form
   109,748/166,152 = 166,152/x
3. Step 3: Cross multiply
   109,748x = 166,152 × 166,152
4. Step 4: Simplify right side
   109,748x = 27,606,487,104
5. Step 5: Solve for x
   x = 27,606,487,104/109,748
6. Step 6: Final answer
   x = 251,544.33