Finding the Third Proportional to 72,654 and 156,770

Step by Step Solution

1. Step 1: Write the proportion equation
   72,654 : 156,770 = 156,770 : x
2. Step 2: Convert to fraction form
   72,654/156,770 = 156,770/x
3. Step 3: Cross multiply
   72,654x = 156,770 × 156,770
4. Step 4: Simplify right side
   72,654x = 24,576,832,900
5. Step 5: Solve for x
   x = 24,576,832,900/72,654
6. Step 6: Final answer
   x = 338,272.26