Finding the Third Proportional to 178,578 and 242,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,578 : 242,527.50 = 242,527.50 : x
2. Step 2: Convert to fraction form
   178,578/242,527.50 = 242,527.50/x
3. Step 3: Cross multiply
   178,578x = 242,527.50 × 242,527.50
4. Step 4: Simplify right side
   178,578x = 58,819,588,256.25
5. Step 5: Solve for x
   x = 58,819,588,256.25/178,578
6. Step 6: Final answer
   x = 329,377.57