Finding the Third Proportional to 184,470 and 259,065

Step by Step Solution

1. Step 1: Write the proportion equation
   184,470 : 259,065 = 259,065 : x
2. Step 2: Convert to fraction form
   184,470/259,065 = 259,065/x
3. Step 3: Cross multiply
   184,470x = 259,065 × 259,065
4. Step 4: Simplify right side
   184,470x = 67,114,674,225
5. Step 5: Solve for x
   x = 67,114,674,225/184,470
6. Step 6: Final answer
   x = 363,824.33