Finding the Third Proportional to 168,817.50 and 257,514

Step by Step Solution

1. Step 1: Write the proportion equation
   168,817.50 : 257,514 = 257,514 : x
2. Step 2: Convert to fraction form
   168,817.50/257,514 = 257,514/x
3. Step 3: Cross multiply
   168,817.50x = 257,514 × 257,514
4. Step 4: Simplify right side
   168,817.50x = 66,313,460,196
5. Step 5: Solve for x
   x = 66,313,460,196/168,817.50
6. Step 6: Final answer
   x = 392,811.53