Finding the Third Proportional to 71,602.50 and 156,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,602.50 : 156,976.50 = 156,976.50 : x
2. Step 2: Convert to fraction form
   71,602.50/156,976.50 = 156,976.50/x
3. Step 3: Cross multiply
   71,602.50x = 156,976.50 × 156,976.50
4. Step 4: Simplify right side
   71,602.50x = 24,641,621,552.25
5. Step 5: Solve for x
   x = 24,641,621,552.25/71,602.50
6. Step 6: Final answer
   x = 344,144.71