Finding the Third Proportional to 353,164.50 and 503,106.75

Step by Step Solution

1. Step 1: Write the proportion equation
   353,164.50 : 503,106.75 = 503,106.75 : x
2. Step 2: Convert to fraction form
   353,164.50/503,106.75 = 503,106.75/x
3. Step 3: Cross multiply
   353,164.50x = 503,106.75 × 503,106.75
4. Step 4: Simplify right side
   353,164.50x = 253,116,401,895.56
5. Step 5: Solve for x
   x = 253,116,401,895.56/353,164.50
6. Step 6: Final answer
   x = 716,709.64