Finding the Third Proportional to 72,600 and 153,096

Step by Step Solution

1. Step 1: Write the proportion equation
   72,600 : 153,096 = 153,096 : x
2. Step 2: Convert to fraction form
   72,600/153,096 = 153,096/x
3. Step 3: Cross multiply
   72,600x = 153,096 × 153,096
4. Step 4: Simplify right side
   72,600x = 23,438,385,216
5. Step 5: Solve for x
   x = 23,438,385,216/72,600
6. Step 6: Final answer
   x = 322,842.77