Finding the Third Proportional to 41,607 and 86,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,607 : 86,164.50 = 86,164.50 : x
2. Step 2: Convert to fraction form
   41,607/86,164.50 = 86,164.50/x
3. Step 3: Cross multiply
   41,607x = 86,164.50 × 86,164.50
4. Step 4: Simplify right side
   41,607x = 7,424,321,060.25
5. Step 5: Solve for x
   x = 7,424,321,060.25/41,607
6. Step 6: Final answer
   x = 178,439.23