Finding the Third Proportional to 72,146 and 156,614

Step by Step Solution

1. Step 1: Write the proportion equation
   72,146 : 156,614 = 156,614 : x
2. Step 2: Convert to fraction form
   72,146/156,614 = 156,614/x
3. Step 3: Cross multiply
   72,146x = 156,614 × 156,614
4. Step 4: Simplify right side
   72,146x = 24,527,944,996
5. Step 5: Solve for x
   x = 24,527,944,996/72,146
6. Step 6: Final answer
   x = 339,976.51