Finding the Third Proportional to 238,298.25 and 523,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,298.25 : 523,825.50 = 523,825.50 : x
2. Step 2: Convert to fraction form
   238,298.25/523,825.50 = 523,825.50/x
3. Step 3: Cross multiply
   238,298.25x = 523,825.50 × 523,825.50
4. Step 4: Simplify right side
   238,298.25x = 274,393,154,450.25
5. Step 5: Solve for x
   x = 274,393,154,450.25/238,298.25
6. Step 6: Final answer
   x = 1,151,469.45