Finding the Third Proportional to 121,746 and 265,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,746 : 265,636.50 = 265,636.50 : x
2. Step 2: Convert to fraction form
   121,746/265,636.50 = 265,636.50/x
3. Step 3: Cross multiply
   121,746x = 265,636.50 × 265,636.50
4. Step 4: Simplify right side
   121,746x = 70,562,750,132.25
5. Step 5: Solve for x
   x = 70,562,750,132.25/121,746
6. Step 6: Final answer
   x = 579,589.88