Finding the Third Proportional to 343,641 and 505,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,641 : 505,162.50 = 505,162.50 : x
2. Step 2: Convert to fraction form
   343,641/505,162.50 = 505,162.50/x
3. Step 3: Cross multiply
   343,641x = 505,162.50 × 505,162.50
4. Step 4: Simplify right side
   343,641x = 255,189,151,406.25
5. Step 5: Solve for x
   x = 255,189,151,406.25/343,641
6. Step 6: Final answer
   x = 742,603.91