Finding the Third Proportional to 150,271.50 and 210,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,271.50 : 210,097.50 = 210,097.50 : x
2. Step 2: Convert to fraction form
   150,271.50/210,097.50 = 210,097.50/x
3. Step 3: Cross multiply
   150,271.50x = 210,097.50 × 210,097.50
4. Step 4: Simplify right side
   150,271.50x = 44,140,959,506.25
5. Step 5: Solve for x
   x = 44,140,959,506.25/150,271.50
6. Step 6: Final answer
   x = 293,741.39