Finding the Third Proportional to 113,878 and 166,428

Step by Step Solution

1. Step 1: Write the proportion equation
   113,878 : 166,428 = 166,428 : x
2. Step 2: Convert to fraction form
   113,878/166,428 = 166,428/x
3. Step 3: Cross multiply
   113,878x = 166,428 × 166,428
4. Step 4: Simplify right side
   113,878x = 27,698,279,184
5. Step 5: Solve for x
   x = 27,698,279,184/113,878
6. Step 6: Final answer
   x = 243,227.66