Finding the Third Proportional to 345,448 and 508,293.25

Step by Step Solution

1. Step 1: Write the proportion equation
   345,448 : 508,293.25 = 508,293.25 : x
2. Step 2: Convert to fraction form
   345,448/508,293.25 = 508,293.25/x
3. Step 3: Cross multiply
   345,448x = 508,293.25 × 508,293.25
4. Step 4: Simplify right side
   345,448x = 258,362,027,995.56
5. Step 5: Solve for x
   x = 258,362,027,995.56/345,448
6. Step 6: Final answer
   x = 747,904.25