Finding the Third Proportional to 121,749 and 265,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,749 : 265,642.50 = 265,642.50 : x
2. Step 2: Convert to fraction form
   121,749/265,642.50 = 265,642.50/x
3. Step 3: Cross multiply
   121,749x = 265,642.50 × 265,642.50
4. Step 4: Simplify right side
   121,749x = 70,565,937,806.25
5. Step 5: Solve for x
   x = 70,565,937,806.25/121,749
6. Step 6: Final answer
   x = 579,601.79