Finding the Third Proportional to 81,234 and 178,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,234 : 178,160.50 = 178,160.50 : x
2. Step 2: Convert to fraction form
   81,234/178,160.50 = 178,160.50/x
3. Step 3: Cross multiply
   81,234x = 178,160.50 × 178,160.50
4. Step 4: Simplify right side
   81,234x = 31,741,163,760.25
5. Step 5: Solve for x
   x = 31,741,163,760.25/81,234
6. Step 6: Final answer
   x = 390,737.42