Finding the Third Proportional to 155,967.50 and 217,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,967.50 : 217,308.50 = 217,308.50 : x
2. Step 2: Convert to fraction form
   155,967.50/217,308.50 = 217,308.50/x
3. Step 3: Cross multiply
   155,967.50x = 217,308.50 × 217,308.50
4. Step 4: Simplify right side
   155,967.50x = 47,222,984,172.25
5. Step 5: Solve for x
   x = 47,222,984,172.25/155,967.50
6. Step 6: Final answer
   x = 302,774.52