Finding the Third Proportional to 238,300 and 523,830

Step by Step Solution

1. Step 1: Write the proportion equation
   238,300 : 523,830 = 523,830 : x
2. Step 2: Convert to fraction form
   238,300/523,830 = 523,830/x
3. Step 3: Cross multiply
   238,300x = 523,830 × 523,830
4. Step 4: Simplify right side
   238,300x = 274,397,868,900
5. Step 5: Solve for x
   x = 274,397,868,900/238,300
6. Step 6: Final answer
   x = 1,151,480.78