Finding the Third Proportional to 364,563 and 534,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,563 : 534,532.50 = 534,532.50 : x
2. Step 2: Convert to fraction form
   364,563/534,532.50 = 534,532.50/x
3. Step 3: Cross multiply
   364,563x = 534,532.50 × 534,532.50
4. Step 4: Simplify right side
   364,563x = 285,724,993,556.25
5. Step 5: Solve for x
   x = 285,724,993,556.25/364,563
6. Step 6: Final answer
   x = 783,746.55