Finding the Third Proportional to 121,578 and 265,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,578 : 265,087.50 = 265,087.50 : x
2. Step 2: Convert to fraction form
   121,578/265,087.50 = 265,087.50/x
3. Step 3: Cross multiply
   121,578x = 265,087.50 × 265,087.50
4. Step 4: Simplify right side
   121,578x = 70,271,382,656.25
5. Step 5: Solve for x
   x = 70,271,382,656.25/121,578
6. Step 6: Final answer
   x = 577,994.23