Finding the Third Proportional to 156,564 and 223,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   156,564 : 223,816.50 = 223,816.50 : x
2. Step 2: Convert to fraction form
   156,564/223,816.50 = 223,816.50/x
3. Step 3: Cross multiply
   156,564x = 223,816.50 × 223,816.50
4. Step 4: Simplify right side
   156,564x = 50,093,825,672.25
5. Step 5: Solve for x
   x = 50,093,825,672.25/156,564
6. Step 6: Final answer
   x = 319,957.50