Finding the Third Proportional to 103,698 and 152,233

Step by Step Solution

1. Step 1: Write the proportion equation
   103,698 : 152,233 = 152,233 : x
2. Step 2: Convert to fraction form
   103,698/152,233 = 152,233/x
3. Step 3: Cross multiply
   103,698x = 152,233 × 152,233
4. Step 4: Simplify right side
   103,698x = 23,174,886,289
5. Step 5: Solve for x
   x = 23,174,886,289/103,698
6. Step 6: Final answer
   x = 223,484.41