Finding the Third Proportional to 83,380 and 169,844

Step by Step Solution

1. Step 1: Write the proportion equation
   83,380 : 169,844 = 169,844 : x
2. Step 2: Convert to fraction form
   83,380/169,844 = 169,844/x
3. Step 3: Cross multiply
   83,380x = 169,844 × 169,844
4. Step 4: Simplify right side
   83,380x = 28,846,984,336
5. Step 5: Solve for x
   x = 28,846,984,336/83,380
6. Step 6: Final answer
   x = 345,970.07