Finding the Third Proportional to 113,878 and 243,521

Step by Step Solution

1. Step 1: Write the proportion equation
   113,878 : 243,521 = 243,521 : x
2. Step 2: Convert to fraction form
   113,878/243,521 = 243,521/x
3. Step 3: Cross multiply
   113,878x = 243,521 × 243,521
4. Step 4: Simplify right side
   113,878x = 59,302,477,441
5. Step 5: Solve for x
   x = 59,302,477,441/113,878
6. Step 6: Final answer
   x = 520,754.47