Finding the Third Proportional to 46,520 and 109,708

Step by Step Solution

1. Step 1: Write the proportion equation
   46,520 : 109,708 = 109,708 : x
2. Step 2: Convert to fraction form
   46,520/109,708 = 109,708/x
3. Step 3: Cross multiply
   46,520x = 109,708 × 109,708
4. Step 4: Simplify right side
   46,520x = 12,035,845,264
5. Step 5: Solve for x
   x = 12,035,845,264/46,520
6. Step 6: Final answer
   x = 258,724.10