Finding the Third Proportional to 72,362 and 156,424

Step by Step Solution

1. Step 1: Write the proportion equation
   72,362 : 156,424 = 156,424 : x
2. Step 2: Convert to fraction form
   72,362/156,424 = 156,424/x
3. Step 3: Cross multiply
   72,362x = 156,424 × 156,424
4. Step 4: Simplify right side
   72,362x = 24,468,467,776
5. Step 5: Solve for x
   x = 24,468,467,776/72,362
6. Step 6: Final answer
   x = 338,139.74