Finding the Third Proportional to 156,109.50 and 223,076.25

Step by Step Solution

1. Step 1: Write the proportion equation
   156,109.50 : 223,076.25 = 223,076.25 : x
2. Step 2: Convert to fraction form
   156,109.50/223,076.25 = 223,076.25/x
3. Step 3: Cross multiply
   156,109.50x = 223,076.25 × 223,076.25
4. Step 4: Simplify right side
   156,109.50x = 49,763,013,314.06
5. Step 5: Solve for x
   x = 49,763,013,314.06/156,109.50
6. Step 6: Final answer
   x = 318,769.92