Finding the Third Proportional to 46,284 and 109,185

Step by Step Solution

1. Step 1: Write the proportion equation
   46,284 : 109,185 = 109,185 : x
2. Step 2: Convert to fraction form
   46,284/109,185 = 109,185/x
3. Step 3: Cross multiply
   46,284x = 109,185 × 109,185
4. Step 4: Simplify right side
   46,284x = 11,921,364,225
5. Step 5: Solve for x
   x = 11,921,364,225/46,284
6. Step 6: Final answer
   x = 257,569.88