Finding the Third Proportional to 72,153 and 156,638

Step by Step Solution

1. Step 1: Write the proportion equation
   72,153 : 156,638 = 156,638 : x
2. Step 2: Convert to fraction form
   72,153/156,638 = 156,638/x
3. Step 3: Cross multiply
   72,153x = 156,638 × 156,638
4. Step 4: Simplify right side
   72,153x = 24,535,463,044
5. Step 5: Solve for x
   x = 24,535,463,044/72,153
6. Step 6: Final answer
   x = 340,047.72