Finding the Third Proportional to 345,078 and 463,752

Step by Step Solution

1. Step 1: Write the proportion equation
   345,078 : 463,752 = 463,752 : x
2. Step 2: Convert to fraction form
   345,078/463,752 = 463,752/x
3. Step 3: Cross multiply
   345,078x = 463,752 × 463,752
4. Step 4: Simplify right side
   345,078x = 215,065,917,504
5. Step 5: Solve for x
   x = 215,065,917,504/345,078
6. Step 6: Final answer
   x = 623,238.56