Finding the Third Proportional to 72,582 and 148,079

Step by Step Solution

1. Step 1: Write the proportion equation
   72,582 : 148,079 = 148,079 : x
2. Step 2: Convert to fraction form
   72,582/148,079 = 148,079/x
3. Step 3: Cross multiply
   72,582x = 148,079 × 148,079
4. Step 4: Simplify right side
   72,582x = 21,927,390,241
5. Step 5: Solve for x
   x = 21,927,390,241/72,582
6. Step 6: Final answer
   x = 302,105.07