Finding the Third Proportional to 159,284.50 and 240,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   159,284.50 : 240,967.50 = 240,967.50 : x
2. Step 2: Convert to fraction form
   159,284.50/240,967.50 = 240,967.50/x
3. Step 3: Cross multiply
   159,284.50x = 240,967.50 × 240,967.50
4. Step 4: Simplify right side
   159,284.50x = 58,065,336,056.25
5. Step 5: Solve for x
   x = 58,065,336,056.25/159,284.50
6. Step 6: Final answer
   x = 364,538.52