Finding the Third Proportional to 169,617 and 224,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   169,617 : 224,269.50 = 224,269.50 : x
2. Step 2: Convert to fraction form
   169,617/224,269.50 = 224,269.50/x
3. Step 3: Cross multiply
   169,617x = 224,269.50 × 224,269.50
4. Step 4: Simplify right side
   169,617x = 50,296,808,630.25
5. Step 5: Solve for x
   x = 50,296,808,630.25/169,617
6. Step 6: Final answer
   x = 296,531.65