Finding the Third Proportional to 72,338 and 148,562

Step by Step Solution

1. Step 1: Write the proportion equation
   72,338 : 148,562 = 148,562 : x
2. Step 2: Convert to fraction form
   72,338/148,562 = 148,562/x
3. Step 3: Cross multiply
   72,338x = 148,562 × 148,562
4. Step 4: Simplify right side
   72,338x = 22,070,667,844
5. Step 5: Solve for x
   x = 22,070,667,844/72,338
6. Step 6: Final answer
   x = 305,104.76