Finding the Third Proportional to 116,059.50 and 156,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,059.50 : 156,586.50 = 156,586.50 : x
2. Step 2: Convert to fraction form
   116,059.50/156,586.50 = 156,586.50/x
3. Step 3: Cross multiply
   116,059.50x = 156,586.50 × 156,586.50
4. Step 4: Simplify right side
   116,059.50x = 24,519,331,982.25
5. Step 5: Solve for x
   x = 24,519,331,982.25/116,059.50
6. Step 6: Final answer
   x = 211,265.19