Finding the Third Proportional to 86,232 and 185,064

Step by Step Solution

1. Step 1: Write the proportion equation
   86,232 : 185,064 = 185,064 : x
2. Step 2: Convert to fraction form
   86,232/185,064 = 185,064/x
3. Step 3: Cross multiply
   86,232x = 185,064 × 185,064
4. Step 4: Simplify right side
   86,232x = 34,248,684,096
5. Step 5: Solve for x
   x = 34,248,684,096/86,232
6. Step 6: Final answer
   x = 397,169.08