Finding the Third Proportional to 46,490 and 109,733

Step by Step Solution

1. Step 1: Write the proportion equation
   46,490 : 109,733 = 109,733 : x
2. Step 2: Convert to fraction form
   46,490/109,733 = 109,733/x
3. Step 3: Cross multiply
   46,490x = 109,733 × 109,733
4. Step 4: Simplify right side
   46,490x = 12,041,331,289
5. Step 5: Solve for x
   x = 12,041,331,289/46,490
6. Step 6: Final answer
   x = 259,009.06