Finding the Third Proportional to 71,923.50 and 156,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,923.50 : 156,970.50 = 156,970.50 : x
2. Step 2: Convert to fraction form
   71,923.50/156,970.50 = 156,970.50/x
3. Step 3: Cross multiply
   71,923.50x = 156,970.50 × 156,970.50
4. Step 4: Simplify right side
   71,923.50x = 24,639,737,870.25
5. Step 5: Solve for x
   x = 24,639,737,870.25/71,923.50
6. Step 6: Final answer
   x = 342,582.58