Finding the Third Proportional to 258,282 and 346,416.75

Step by Step Solution

1. Step 1: Write the proportion equation
   258,282 : 346,416.75 = 346,416.75 : x
2. Step 2: Convert to fraction form
   258,282/346,416.75 = 346,416.75/x
3. Step 3: Cross multiply
   258,282x = 346,416.75 × 346,416.75
4. Step 4: Simplify right side
   258,282x = 120,004,564,680.56
5. Step 5: Solve for x
   x = 120,004,564,680.56/258,282
6. Step 6: Final answer
   x = 464,626.12