Finding the Third Proportional to 148,500 and 229,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,500 : 229,783.50 = 229,783.50 : x
2. Step 2: Convert to fraction form
   148,500/229,783.50 = 229,783.50/x
3. Step 3: Cross multiply
   148,500x = 229,783.50 × 229,783.50
4. Step 4: Simplify right side
   148,500x = 52,800,456,872.25
5. Step 5: Solve for x
   x = 52,800,456,872.25/148,500
6. Step 6: Final answer
   x = 355,558.63