Finding the Third Proportional to 333,256.50 and 516,168

Step by Step Solution

1. Step 1: Write the proportion equation
   333,256.50 : 516,168 = 516,168 : x
2. Step 2: Convert to fraction form
   333,256.50/516,168 = 516,168/x
3. Step 3: Cross multiply
   333,256.50x = 516,168 × 516,168
4. Step 4: Simplify right side
   333,256.50x = 266,429,404,224
5. Step 5: Solve for x
   x = 266,429,404,224/333,256.50
6. Step 6: Final answer
   x = 799,472.49