Finding the Third Proportional to 102,966 and 188,844

Step by Step Solution

1. Step 1: Write the proportion equation
   102,966 : 188,844 = 188,844 : x
2. Step 2: Convert to fraction form
   102,966/188,844 = 188,844/x
3. Step 3: Cross multiply
   102,966x = 188,844 × 188,844
4. Step 4: Simplify right side
   102,966x = 35,662,056,336
5. Step 5: Solve for x
   x = 35,662,056,336/102,966
6. Step 6: Final answer
   x = 346,347.89