Finding the Third Proportional to 111,678 and 243,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,678 : 243,427.50 = 243,427.50 : x
2. Step 2: Convert to fraction form
   111,678/243,427.50 = 243,427.50/x
3. Step 3: Cross multiply
   111,678x = 243,427.50 × 243,427.50
4. Step 4: Simplify right side
   111,678x = 59,256,947,756.25
5. Step 5: Solve for x
   x = 59,256,947,756.25/111,678
6. Step 6: Final answer
   x = 530,605.38