Finding the Third Proportional to 93,678 and 142,848

Step by Step Solution

1. Step 1: Write the proportion equation
   93,678 : 142,848 = 142,848 : x
2. Step 2: Convert to fraction form
   93,678/142,848 = 142,848/x
3. Step 3: Cross multiply
   93,678x = 142,848 × 142,848
4. Step 4: Simplify right side
   93,678x = 20,405,551,104
5. Step 5: Solve for x
   x = 20,405,551,104/93,678
6. Step 6: Final answer
   x = 217,826.50