Finding the Third Proportional to 104,692.50 and 229,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,692.50 : 229,189.50 = 229,189.50 : x
2. Step 2: Convert to fraction form
   104,692.50/229,189.50 = 229,189.50/x
3. Step 3: Cross multiply
   104,692.50x = 229,189.50 × 229,189.50
4. Step 4: Simplify right side
   104,692.50x = 52,527,826,910.25
5. Step 5: Solve for x
   x = 52,527,826,910.25/104,692.50
6. Step 6: Final answer
   x = 501,734.38