Finding the Third Proportional to 103,638 and 152,054

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 152,054 = 152,054 : x
2. Step 2: Convert to fraction form
   103,638/152,054 = 152,054/x
3. Step 3: Cross multiply
   103,638x = 152,054 × 152,054
4. Step 4: Simplify right side
   103,638x = 23,120,418,916
5. Step 5: Solve for x
   x = 23,120,418,916/103,638
6. Step 6: Final answer
   x = 223,088.24