Finding the Third Proportional to 102,843 and 154,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,843 : 154,264.50 = 154,264.50 : x
2. Step 2: Convert to fraction form
   102,843/154,264.50 = 154,264.50/x
3. Step 3: Cross multiply
   102,843x = 154,264.50 × 154,264.50
4. Step 4: Simplify right side
   102,843x = 23,797,535,960.25
5. Step 5: Solve for x
   x = 23,797,535,960.25/102,843
6. Step 6: Final answer
   x = 231,396.75