Finding the Third Proportional to 105,178.50 and 230,769

Step by Step Solution

1. Step 1: Write the proportion equation
   105,178.50 : 230,769 = 230,769 : x
2. Step 2: Convert to fraction form
   105,178.50/230,769 = 230,769/x
3. Step 3: Cross multiply
   105,178.50x = 230,769 × 230,769
4. Step 4: Simplify right side
   105,178.50x = 53,254,331,361
5. Step 5: Solve for x
   x = 53,254,331,361/105,178.50
6. Step 6: Final answer
   x = 506,323.36