Finding the Third Proportional to 46,178 and 98,116

Step by Step Solution

1. Step 1: Write the proportion equation
   46,178 : 98,116 = 98,116 : x
2. Step 2: Convert to fraction form
   46,178/98,116 = 98,116/x
3. Step 3: Cross multiply
   46,178x = 98,116 × 98,116
4. Step 4: Simplify right side
   46,178x = 9,626,749,456
5. Step 5: Solve for x
   x = 9,626,749,456/46,178
6. Step 6: Final answer
   x = 208,470.47