Finding the Third Proportional to 40,925 and 86,296

Step by Step Solution

1. Step 1: Write the proportion equation
   40,925 : 86,296 = 86,296 : x
2. Step 2: Convert to fraction form
   40,925/86,296 = 86,296/x
3. Step 3: Cross multiply
   40,925x = 86,296 × 86,296
4. Step 4: Simplify right side
   40,925x = 7,446,999,616
5. Step 5: Solve for x
   x = 7,446,999,616/40,925
6. Step 6: Final answer
   x = 181,967.00