Finding the Third Proportional to 150,564 and 334,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,564 : 334,342.50 = 334,342.50 : x
2. Step 2: Convert to fraction form
   150,564/334,342.50 = 334,342.50/x
3. Step 3: Cross multiply
   150,564x = 334,342.50 × 334,342.50
4. Step 4: Simplify right side
   150,564x = 111,784,907,306.25
5. Step 5: Solve for x
   x = 111,784,907,306.25/150,564
6. Step 6: Final answer
   x = 742,441.14