Finding the Third Proportional to 362,112 and 530,208

Step by Step Solution

1. Step 1: Write the proportion equation
   362,112 : 530,208 = 530,208 : x
2. Step 2: Convert to fraction form
   362,112/530,208 = 530,208/x
3. Step 3: Cross multiply
   362,112x = 530,208 × 530,208
4. Step 4: Simplify right side
   362,112x = 281,120,523,264
5. Step 5: Solve for x
   x = 281,120,523,264/362,112
6. Step 6: Final answer
   x = 776,335.84