Finding the Third Proportional to 113,346 and 158,463

Step by Step Solution

1. Step 1: Write the proportion equation
   113,346 : 158,463 = 158,463 : x
2. Step 2: Convert to fraction form
   113,346/158,463 = 158,463/x
3. Step 3: Cross multiply
   113,346x = 158,463 × 158,463
4. Step 4: Simplify right side
   113,346x = 25,110,522,369
5. Step 5: Solve for x
   x = 25,110,522,369/113,346
6. Step 6: Final answer
   x = 221,538.67