Finding the Third Proportional to 114,690 and 269,844

Step by Step Solution

1. Step 1: Write the proportion equation
   114,690 : 269,844 = 269,844 : x
2. Step 2: Convert to fraction form
   114,690/269,844 = 269,844/x
3. Step 3: Cross multiply
   114,690x = 269,844 × 269,844
4. Step 4: Simplify right side
   114,690x = 72,815,784,336
5. Step 5: Solve for x
   x = 72,815,784,336/114,690
6. Step 6: Final answer
   x = 634,892.18