Finding the Third Proportional to 150,729 and 233,284.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,729 : 233,284.50 = 233,284.50 : x
2. Step 2: Convert to fraction form
   150,729/233,284.50 = 233,284.50/x
3. Step 3: Cross multiply
   150,729x = 233,284.50 × 233,284.50
4. Step 4: Simplify right side
   150,729x = 54,421,657,940.25
5. Step 5: Solve for x
   x = 54,421,657,940.25/150,729
6. Step 6: Final answer
   x = 361,056.32