Finding the Third Proportional to 154,399.50 and 231,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,399.50 : 231,970.50 = 231,970.50 : x
2. Step 2: Convert to fraction form
   154,399.50/231,970.50 = 231,970.50/x
3. Step 3: Cross multiply
   154,399.50x = 231,970.50 × 231,970.50
4. Step 4: Simplify right side
   154,399.50x = 53,810,312,870.25
5. Step 5: Solve for x
   x = 53,810,312,870.25/154,399.50
6. Step 6: Final answer
   x = 348,513.52