Finding the Third Proportional to 169,768 and 254,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   169,768 : 254,672.50 = 254,672.50 : x
2. Step 2: Convert to fraction form
   169,768/254,672.50 = 254,672.50/x
3. Step 3: Cross multiply
   169,768x = 254,672.50 × 254,672.50
4. Step 4: Simplify right side
   169,768x = 64,858,082,256.25
5. Step 5: Solve for x
   x = 64,858,082,256.25/169,768
6. Step 6: Final answer
   x = 382,039.50