Finding the Third Proportional to 76,802.63 and 158,933.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,802.63 : 158,933.25 = 158,933.25 : x
2. Step 2: Convert to fraction form
   76,802.63/158,933.25 = 158,933.25/x
3. Step 3: Cross multiply
   76,802.63x = 158,933.25 × 158,933.25
4. Step 4: Simplify right side
   76,802.63x = 25,259,777,955.56
5. Step 5: Solve for x
   x = 25,259,777,955.56/76,802.63
6. Step 6: Final answer
   x = 328,892.12