Finding the Third Proportional to 72,642 and 156,752

Step by Step Solution

1. Step 1: Write the proportion equation
   72,642 : 156,752 = 156,752 : x
2. Step 2: Convert to fraction form
   72,642/156,752 = 156,752/x
3. Step 3: Cross multiply
   72,642x = 156,752 × 156,752
4. Step 4: Simplify right side
   72,642x = 24,571,189,504
5. Step 5: Solve for x
   x = 24,571,189,504/72,642
6. Step 6: Final answer
   x = 338,250.45