Finding the Third Proportional to 233,322 and 511,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,322 : 511,843.50 = 511,843.50 : x
2. Step 2: Convert to fraction form
   233,322/511,843.50 = 511,843.50/x
3. Step 3: Cross multiply
   233,322x = 511,843.50 × 511,843.50
4. Step 4: Simplify right side
   233,322x = 261,983,768,492.25
5. Step 5: Solve for x
   x = 261,983,768,492.25/233,322
6. Step 6: Final answer
   x = 1,122,842.12