Finding the Third Proportional to 168,207 and 257,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   168,207 : 257,233.50 = 257,233.50 : x
2. Step 2: Convert to fraction form
   168,207/257,233.50 = 257,233.50/x
3. Step 3: Cross multiply
   168,207x = 257,233.50 × 257,233.50
4. Step 4: Simplify right side
   168,207x = 66,169,073,522.25
5. Step 5: Solve for x
   x = 66,169,073,522.25/168,207
6. Step 6: Final answer
   x = 393,378.83