Finding the Third Proportional to 382,632 and 553,123

Step by Step Solution

1. Step 1: Write the proportion equation
   382,632 : 553,123 = 553,123 : x
2. Step 2: Convert to fraction form
   382,632/553,123 = 553,123/x
3. Step 3: Cross multiply
   382,632x = 553,123 × 553,123
4. Step 4: Simplify right side
   382,632x = 305,945,053,129
5. Step 5: Solve for x
   x = 305,945,053,129/382,632
6. Step 6: Final answer
   x = 799,580.41