Finding the Third Proportional to 370,152 and 768,309.75

Step by Step Solution

1. Step 1: Write the proportion equation
   370,152 : 768,309.75 = 768,309.75 : x
2. Step 2: Convert to fraction form
   370,152/768,309.75 = 768,309.75/x
3. Step 3: Cross multiply
   370,152x = 768,309.75 × 768,309.75
4. Step 4: Simplify right side
   370,152x = 590,299,871,945.06
5. Step 5: Solve for x
   x = 590,299,871,945.06/370,152
6. Step 6: Final answer
   x = 1,594,749.92