Finding the Third Proportional to 148,189.50 and 229,797

Step by Step Solution

1. Step 1: Write the proportion equation
   148,189.50 : 229,797 = 229,797 : x
2. Step 2: Convert to fraction form
   148,189.50/229,797 = 229,797/x
3. Step 3: Cross multiply
   148,189.50x = 229,797 × 229,797
4. Step 4: Simplify right side
   148,189.50x = 52,806,661,209
5. Step 5: Solve for x
   x = 52,806,661,209/148,189.50
6. Step 6: Final answer
   x = 356,345.50