Finding the Third Proportional to 364,696 and 585,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,696 : 585,968.50 = 585,968.50 : x
2. Step 2: Convert to fraction form
   364,696/585,968.50 = 585,968.50/x
3. Step 3: Cross multiply
   364,696x = 585,968.50 × 585,968.50
4. Step 4: Simplify right side
   364,696x = 343,359,082,992.25
5. Step 5: Solve for x
   x = 343,359,082,992.25/364,696
6. Step 6: Final answer
   x = 941,493.96