Finding the Third Proportional to 72,649 and 156,773

Step by Step Solution

1. Step 1: Write the proportion equation
   72,649 : 156,773 = 156,773 : x
2. Step 2: Convert to fraction form
   72,649/156,773 = 156,773/x
3. Step 3: Cross multiply
   72,649x = 156,773 × 156,773
4. Step 4: Simplify right side
   72,649x = 24,577,773,529
5. Step 5: Solve for x
   x = 24,577,773,529/72,649
6. Step 6: Final answer
   x = 338,308.49