Finding the Third Proportional to 75,626 and 158,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,626 : 158,991.50 = 158,991.50 : x
2. Step 2: Convert to fraction form
   75,626/158,991.50 = 158,991.50/x
3. Step 3: Cross multiply
   75,626x = 158,991.50 × 158,991.50
4. Step 4: Simplify right side
   75,626x = 25,278,297,072.25
5. Step 5: Solve for x
   x = 25,278,297,072.25/75,626
6. Step 6: Final answer
   x = 334,254.05