Finding the Third Proportional to 407,109 and 562,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,109 : 562,549.50 = 562,549.50 : x
2. Step 2: Convert to fraction form
   407,109/562,549.50 = 562,549.50/x
3. Step 3: Cross multiply
   407,109x = 562,549.50 × 562,549.50
4. Step 4: Simplify right side
   407,109x = 316,461,939,950.25
5. Step 5: Solve for x
   x = 316,461,939,950.25/407,109
6. Step 6: Final answer
   x = 777,339.58