Finding the Third Proportional to 113,820 and 166,354

Step by Step Solution

1. Step 1: Write the proportion equation
   113,820 : 166,354 = 166,354 : x
2. Step 2: Convert to fraction form
   113,820/166,354 = 166,354/x
3. Step 3: Cross multiply
   113,820x = 166,354 × 166,354
4. Step 4: Simplify right side
   113,820x = 27,673,653,316
5. Step 5: Solve for x
   x = 27,673,653,316/113,820
6. Step 6: Final answer
   x = 243,135.24