Finding the Third Proportional to 52,234 and 123,283

Step by Step Solution

1. Step 1: Write the proportion equation
   52,234 : 123,283 = 123,283 : x
2. Step 2: Convert to fraction form
   52,234/123,283 = 123,283/x
3. Step 3: Cross multiply
   52,234x = 123,283 × 123,283
4. Step 4: Simplify right side
   52,234x = 15,198,698,089
5. Step 5: Solve for x
   x = 15,198,698,089/52,234
6. Step 6: Final answer
   x = 290,973.28