Finding the Third Proportional to 102,835.50 and 229,302

Step by Step Solution

1. Step 1: Write the proportion equation
   102,835.50 : 229,302 = 229,302 : x
2. Step 2: Convert to fraction form
   102,835.50/229,302 = 229,302/x
3. Step 3: Cross multiply
   102,835.50x = 229,302 × 229,302
4. Step 4: Simplify right side
   102,835.50x = 52,579,407,204
5. Step 5: Solve for x
   x = 52,579,407,204/102,835.50
6. Step 6: Final answer
   x = 511,296.27