Finding the Third Proportional to 103,625 and 152,038

Step by Step Solution

1. Step 1: Write the proportion equation
   103,625 : 152,038 = 152,038 : x
2. Step 2: Convert to fraction form
   103,625/152,038 = 152,038/x
3. Step 3: Cross multiply
   103,625x = 152,038 × 152,038
4. Step 4: Simplify right side
   103,625x = 23,115,553,444
5. Step 5: Solve for x
   x = 23,115,553,444/103,625
6. Step 6: Final answer
   x = 223,069.27