Finding the Third Proportional to 166,636 and 238,123

Step by Step Solution

1. Step 1: Write the proportion equation
   166,636 : 238,123 = 238,123 : x
2. Step 2: Convert to fraction form
   166,636/238,123 = 238,123/x
3. Step 3: Cross multiply
   166,636x = 238,123 × 238,123
4. Step 4: Simplify right side
   166,636x = 56,702,563,129
5. Step 5: Solve for x
   x = 56,702,563,129/166,636
6. Step 6: Final answer
   x = 340,277.99