Finding the Third Proportional to 148,168.50 and 229,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,168.50 : 229,774.50 = 229,774.50 : x
2. Step 2: Convert to fraction form
   148,168.50/229,774.50 = 229,774.50/x
3. Step 3: Cross multiply
   148,168.50x = 229,774.50 × 229,774.50
4. Step 4: Simplify right side
   148,168.50x = 52,796,320,850.25
5. Step 5: Solve for x
   x = 52,796,320,850.25/148,168.50
6. Step 6: Final answer
   x = 356,326.22