Finding the Third Proportional to 72,538 and 153,786

Step by Step Solution

1. Step 1: Write the proportion equation
   72,538 : 153,786 = 153,786 : x
2. Step 2: Convert to fraction form
   72,538/153,786 = 153,786/x
3. Step 3: Cross multiply
   72,538x = 153,786 × 153,786
4. Step 4: Simplify right side
   72,538x = 23,650,133,796
5. Step 5: Solve for x
   x = 23,650,133,796/72,538
6. Step 6: Final answer
   x = 326,037.85