Finding the Third Proportional to 269,736.75 and 419,094

Step by Step Solution

1. Step 1: Write the proportion equation
   269,736.75 : 419,094 = 419,094 : x
2. Step 2: Convert to fraction form
   269,736.75/419,094 = 419,094/x
3. Step 3: Cross multiply
   269,736.75x = 419,094 × 419,094
4. Step 4: Simplify right side
   269,736.75x = 175,639,780,836
5. Step 5: Solve for x
   x = 175,639,780,836/269,736.75
6. Step 6: Final answer
   x = 651,152.58