Finding the Third Proportional to 72,144 and 156,924

Step by Step Solution

1. Step 1: Write the proportion equation
   72,144 : 156,924 = 156,924 : x
2. Step 2: Convert to fraction form
   72,144/156,924 = 156,924/x
3. Step 3: Cross multiply
   72,144x = 156,924 × 156,924
4. Step 4: Simplify right side
   72,144x = 24,625,141,776
5. Step 5: Solve for x
   x = 24,625,141,776/72,144
6. Step 6: Final answer
   x = 341,333.19