Finding the Third Proportional to 170,658 and 229,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   170,658 : 229,738.50 = 229,738.50 : x
2. Step 2: Convert to fraction form
   170,658/229,738.50 = 229,738.50/x
3. Step 3: Cross multiply
   170,658x = 229,738.50 × 229,738.50
4. Step 4: Simplify right side
   170,658x = 52,779,778,382.25
5. Step 5: Solve for x
   x = 52,779,778,382.25/170,658
6. Step 6: Final answer
   x = 309,272.22