Finding the Third Proportional to 156,501 and 209,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   156,501 : 209,659.50 = 209,659.50 : x
2. Step 2: Convert to fraction form
   156,501/209,659.50 = 209,659.50/x
3. Step 3: Cross multiply
   156,501x = 209,659.50 × 209,659.50
4. Step 4: Simplify right side
   156,501x = 43,957,105,940.25
5. Step 5: Solve for x
   x = 43,957,105,940.25/156,501
6. Step 6: Final answer
   x = 280,874.28