Finding the Third Proportional to 65,538 and 154,053

Step by Step Solution

1. Step 1: Write the proportion equation
   65,538 : 154,053 = 154,053 : x
2. Step 2: Convert to fraction form
   65,538/154,053 = 154,053/x
3. Step 3: Cross multiply
   65,538x = 154,053 × 154,053
4. Step 4: Simplify right side
   65,538x = 23,732,326,809
5. Step 5: Solve for x
   x = 23,732,326,809/65,538
6. Step 6: Final answer
   x = 362,115.52