Finding the Third Proportional to 106,848 and 229,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,848 : 229,774.50 = 229,774.50 : x
2. Step 2: Convert to fraction form
   106,848/229,774.50 = 229,774.50/x
3. Step 3: Cross multiply
   106,848x = 229,774.50 × 229,774.50
4. Step 4: Simplify right side
   106,848x = 52,796,320,850.25
5. Step 5: Solve for x
   x = 52,796,320,850.25/106,848
6. Step 6: Final answer
   x = 494,125.49