Finding the Third Proportional to 169,627.50 and 254,826

Step by Step Solution

1. Step 1: Write the proportion equation
   169,627.50 : 254,826 = 254,826 : x
2. Step 2: Convert to fraction form
   169,627.50/254,826 = 254,826/x
3. Step 3: Cross multiply
   169,627.50x = 254,826 × 254,826
4. Step 4: Simplify right side
   169,627.50x = 64,936,290,276
5. Step 5: Solve for x
   x = 64,936,290,276/169,627.50
6. Step 6: Final answer
   x = 382,817.00