Finding the Third Proportional to 73,803 and 152,857

Step by Step Solution

1. Step 1: Write the proportion equation
   73,803 : 152,857 = 152,857 : x
2. Step 2: Convert to fraction form
   73,803/152,857 = 152,857/x
3. Step 3: Cross multiply
   73,803x = 152,857 × 152,857
4. Step 4: Simplify right side
   73,803x = 23,365,262,449
5. Step 5: Solve for x
   x = 23,365,262,449/73,803
6. Step 6: Final answer
   x = 316,589.60