Finding the Third Proportional to 103,204 and 152,893

Step by Step Solution

1. Step 1: Write the proportion equation
   103,204 : 152,893 = 152,893 : x
2. Step 2: Convert to fraction form
   103,204/152,893 = 152,893/x
3. Step 3: Cross multiply
   103,204x = 152,893 × 152,893
4. Step 4: Simplify right side
   103,204x = 23,376,269,449
5. Step 5: Solve for x
   x = 23,376,269,449/103,204
6. Step 6: Final answer
   x = 226,505.46