Finding the Third Proportional to 382,464 and 562,623.75

Step by Step Solution

1. Step 1: Write the proportion equation
   382,464 : 562,623.75 = 562,623.75 : x
2. Step 2: Convert to fraction form
   382,464/562,623.75 = 562,623.75/x
3. Step 3: Cross multiply
   382,464x = 562,623.75 × 562,623.75
4. Step 4: Simplify right side
   382,464x = 316,545,484,064.06
5. Step 5: Solve for x
   x = 316,545,484,064.06/382,464
6. Step 6: Final answer
   x = 827,647.79