Finding the Third Proportional to 72,693 and 148,059

Step by Step Solution

1. Step 1: Write the proportion equation
   72,693 : 148,059 = 148,059 : x
2. Step 2: Convert to fraction form
   72,693/148,059 = 148,059/x
3. Step 3: Cross multiply
   72,693x = 148,059 × 148,059
4. Step 4: Simplify right side
   72,693x = 21,921,467,481
5. Step 5: Solve for x
   x = 21,921,467,481/72,693
6. Step 6: Final answer
   x = 301,562.29