Finding the Third Proportional to 178,569 and 238,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,569 : 238,045.50 = 238,045.50 : x
2. Step 2: Convert to fraction form
   178,569/238,045.50 = 238,045.50/x
3. Step 3: Cross multiply
   178,569x = 238,045.50 × 238,045.50
4. Step 4: Simplify right side
   178,569x = 56,665,660,070.25
5. Step 5: Solve for x
   x = 56,665,660,070.25/178,569
6. Step 6: Final answer
   x = 317,332.01