Finding the Third Proportional to 92,632 and 188,538

Step by Step Solution

1. Step 1: Write the proportion equation
   92,632 : 188,538 = 188,538 : x
2. Step 2: Convert to fraction form
   92,632/188,538 = 188,538/x
3. Step 3: Cross multiply
   92,632x = 188,538 × 188,538
4. Step 4: Simplify right side
   92,632x = 35,546,577,444
5. Step 5: Solve for x
   x = 35,546,577,444/92,632
6. Step 6: Final answer
   x = 383,739.72