Finding the Third Proportional to 92,161 and 146,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,161 : 146,993.50 = 146,993.50 : x
2. Step 2: Convert to fraction form
   92,161/146,993.50 = 146,993.50/x
3. Step 3: Cross multiply
   92,161x = 146,993.50 × 146,993.50
4. Step 4: Simplify right side
   92,161x = 21,607,089,042.25
5. Step 5: Solve for x
   x = 21,607,089,042.25/92,161
6. Step 6: Final answer
   x = 234,449.38