Finding the Third Proportional to 355,638.75 and 777,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,638.75 : 777,667.50 = 777,667.50 : x
2. Step 2: Convert to fraction form
   355,638.75/777,667.50 = 777,667.50/x
3. Step 3: Cross multiply
   355,638.75x = 777,667.50 × 777,667.50
4. Step 4: Simplify right side
   355,638.75x = 604,766,740,556.25
5. Step 5: Solve for x
   x = 604,766,740,556.25/355,638.75
6. Step 6: Final answer
   x = 1,700,508.57