Finding the Third Proportional to 121,806 and 265,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,806 : 265,747.50 = 265,747.50 : x
2. Step 2: Convert to fraction form
   121,806/265,747.50 = 265,747.50/x
3. Step 3: Cross multiply
   121,806x = 265,747.50 × 265,747.50
4. Step 4: Simplify right side
   121,806x = 70,621,733,756.25
5. Step 5: Solve for x
   x = 70,621,733,756.25/121,806
6. Step 6: Final answer
   x = 579,788.63