Finding the Third Proportional to 46,853 and 102,118

Step by Step Solution

1. Step 1: Write the proportion equation
   46,853 : 102,118 = 102,118 : x
2. Step 2: Convert to fraction form
   46,853/102,118 = 102,118/x
3. Step 3: Cross multiply
   46,853x = 102,118 × 102,118
4. Step 4: Simplify right side
   46,853x = 10,428,085,924
5. Step 5: Solve for x
   x = 10,428,085,924/46,853
6. Step 6: Final answer
   x = 222,570.29