Finding the Third Proportional to 348,378 and 509,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   348,378 : 509,122.50 = 509,122.50 : x
2. Step 2: Convert to fraction form
   348,378/509,122.50 = 509,122.50/x
3. Step 3: Cross multiply
   348,378x = 509,122.50 × 509,122.50
4. Step 4: Simplify right side
   348,378x = 259,205,720,006.25
5. Step 5: Solve for x
   x = 259,205,720,006.25/348,378
6. Step 6: Final answer
   x = 744,035.85