Finding the Third Proportional to 178,234 and 371,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,234 : 371,211.50 = 371,211.50 : x
2. Step 2: Convert to fraction form
   178,234/371,211.50 = 371,211.50/x
3. Step 3: Cross multiply
   178,234x = 371,211.50 × 371,211.50
4. Step 4: Simplify right side
   178,234x = 137,797,977,732.25
5. Step 5: Solve for x
   x = 137,797,977,732.25/178,234
6. Step 6: Final answer
   x = 773,129.58