Finding the Third Proportional to 94,837 and 158,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,837 : 158,039.50 = 158,039.50 : x
2. Step 2: Convert to fraction form
   94,837/158,039.50 = 158,039.50/x
3. Step 3: Cross multiply
   94,837x = 158,039.50 × 158,039.50
4. Step 4: Simplify right side
   94,837x = 24,976,483,560.25
5. Step 5: Solve for x
   x = 24,976,483,560.25/94,837
6. Step 6: Final answer
   x = 263,362.23