Finding the Third Proportional to 118,233 and 259,461

Step by Step Solution

1. Step 1: Write the proportion equation
   118,233 : 259,461 = 259,461 : x
2. Step 2: Convert to fraction form
   118,233/259,461 = 259,461/x
3. Step 3: Cross multiply
   118,233x = 259,461 × 259,461
4. Step 4: Simplify right side
   118,233x = 67,320,010,521
5. Step 5: Solve for x
   x = 67,320,010,521/118,233
6. Step 6: Final answer
   x = 569,384.27