Finding the Third Proportional to 191,329 and 298,623

Step by Step Solution

1. Step 1: Write the proportion equation
   191,329 : 298,623 = 298,623 : x
2. Step 2: Convert to fraction form
   191,329/298,623 = 298,623/x
3. Step 3: Cross multiply
   191,329x = 298,623 × 298,623
4. Step 4: Simplify right side
   191,329x = 89,175,696,129
5. Step 5: Solve for x
   x = 89,175,696,129/191,329
6. Step 6: Final answer
   x = 466,085.62