Finding the Third Proportional to 72,810 and 154,296

Step by Step Solution

1. Step 1: Write the proportion equation
   72,810 : 154,296 = 154,296 : x
2. Step 2: Convert to fraction form
   72,810/154,296 = 154,296/x
3. Step 3: Cross multiply
   72,810x = 154,296 × 154,296
4. Step 4: Simplify right side
   72,810x = 23,807,255,616
5. Step 5: Solve for x
   x = 23,807,255,616/72,810
6. Step 6: Final answer
   x = 326,977.83