Finding the Third Proportional to 102,846 and 155,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,846 : 155,365.50 = 155,365.50 : x
2. Step 2: Convert to fraction form
   102,846/155,365.50 = 155,365.50/x
3. Step 3: Cross multiply
   102,846x = 155,365.50 × 155,365.50
4. Step 4: Simplify right side
   102,846x = 24,138,438,590.25
5. Step 5: Solve for x
   x = 24,138,438,590.25/102,846
6. Step 6: Final answer
   x = 234,704.69