Finding the Third Proportional to 212,565 and 325,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,565 : 325,543.50 = 325,543.50 : x
2. Step 2: Convert to fraction form
   212,565/325,543.50 = 325,543.50/x
3. Step 3: Cross multiply
   212,565x = 325,543.50 × 325,543.50
4. Step 4: Simplify right side
   212,565x = 105,978,570,392.25
5. Step 5: Solve for x
   x = 105,978,570,392.25/212,565
6. Step 6: Final answer
   x = 498,570.18