Finding the Third Proportional to 380,320 and 598,152

Step by Step Solution

1. Step 1: Write the proportion equation
   380,320 : 598,152 = 598,152 : x
2. Step 2: Convert to fraction form
   380,320/598,152 = 598,152/x
3. Step 3: Cross multiply
   380,320x = 598,152 × 598,152
4. Step 4: Simplify right side
   380,320x = 357,785,815,104
5. Step 5: Solve for x
   x = 357,785,815,104/380,320
6. Step 6: Final answer
   x = 940,749.41