Finding the Third Proportional to 121,800 and 265,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,800 : 265,732.50 = 265,732.50 : x
2. Step 2: Convert to fraction form
   121,800/265,732.50 = 265,732.50/x
3. Step 3: Cross multiply
   121,800x = 265,732.50 × 265,732.50
4. Step 4: Simplify right side
   121,800x = 70,613,761,556.25
5. Step 5: Solve for x
   x = 70,613,761,556.25/121,800
6. Step 6: Final answer
   x = 579,751.74