Finding the Third Proportional to 72,546 and 153,792

Step by Step Solution

1. Step 1: Write the proportion equation
   72,546 : 153,792 = 153,792 : x
2. Step 2: Convert to fraction form
   72,546/153,792 = 153,792/x
3. Step 3: Cross multiply
   72,546x = 153,792 × 153,792
4. Step 4: Simplify right side
   72,546x = 23,651,979,264
5. Step 5: Solve for x
   x = 23,651,979,264/72,546
6. Step 6: Final answer
   x = 326,027.34