Finding the Third Proportional to 72,009 and 148,614

Step by Step Solution

1. Step 1: Write the proportion equation
   72,009 : 148,614 = 148,614 : x
2. Step 2: Convert to fraction form
   72,009/148,614 = 148,614/x
3. Step 3: Cross multiply
   72,009x = 148,614 × 148,614
4. Step 4: Simplify right side
   72,009x = 22,086,120,996
5. Step 5: Solve for x
   x = 22,086,120,996/72,009
6. Step 6: Final answer
   x = 306,713.34