Finding the Third Proportional to 72,798 and 151,824

Step by Step Solution

1. Step 1: Write the proportion equation
   72,798 : 151,824 = 151,824 : x
2. Step 2: Convert to fraction form
   72,798/151,824 = 151,824/x
3. Step 3: Cross multiply
   72,798x = 151,824 × 151,824
4. Step 4: Simplify right side
   72,798x = 23,050,526,976
5. Step 5: Solve for x
   x = 23,050,526,976/72,798
6. Step 6: Final answer
   x = 316,636.82