Finding the Third Proportional to 156,780 and 224,109

Step by Step Solution

1. Step 1: Write the proportion equation
   156,780 : 224,109 = 224,109 : x
2. Step 2: Convert to fraction form
   156,780/224,109 = 224,109/x
3. Step 3: Cross multiply
   156,780x = 224,109 × 224,109
4. Step 4: Simplify right side
   156,780x = 50,224,843,881
5. Step 5: Solve for x
   x = 50,224,843,881/156,780
6. Step 6: Final answer
   x = 320,352.37