Finding the Third Proportional to 348,370.50 and 509,112

Step by Step Solution

1. Step 1: Write the proportion equation
   348,370.50 : 509,112 = 509,112 : x
2. Step 2: Convert to fraction form
   348,370.50/509,112 = 509,112/x
3. Step 3: Cross multiply
   348,370.50x = 509,112 × 509,112
4. Step 4: Simplify right side
   348,370.50x = 259,195,028,544
5. Step 5: Solve for x
   x = 259,195,028,544/348,370.50
6. Step 6: Final answer
   x = 744,021.17