Finding the Third Proportional to 121,284 and 263,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,284 : 263,803.50 = 263,803.50 : x
2. Step 2: Convert to fraction form
   121,284/263,803.50 = 263,803.50/x
3. Step 3: Cross multiply
   121,284x = 263,803.50 × 263,803.50
4. Step 4: Simplify right side
   121,284x = 69,592,286,612.25
5. Step 5: Solve for x
   x = 69,592,286,612.25/121,284
6. Step 6: Final answer
   x = 573,796.10