Finding the Third Proportional to 176,314 and 268,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,314 : 268,601.50 = 268,601.50 : x
2. Step 2: Convert to fraction form
   176,314/268,601.50 = 268,601.50/x
3. Step 3: Cross multiply
   176,314x = 268,601.50 × 268,601.50
4. Step 4: Simplify right side
   176,314x = 72,146,765,802.25
5. Step 5: Solve for x
   x = 72,146,765,802.25/176,314
6. Step 6: Final answer
   x = 409,194.77