Finding the Third Proportional to 78,783 and 118,232

Step by Step Solution

1. Step 1: Write the proportion equation
   78,783 : 118,232 = 118,232 : x
2. Step 2: Convert to fraction form
   78,783/118,232 = 118,232/x
3. Step 3: Cross multiply
   78,783x = 118,232 × 118,232
4. Step 4: Simplify right side
   78,783x = 13,978,805,824
5. Step 5: Solve for x
   x = 13,978,805,824/78,783
6. Step 6: Final answer
   x = 177,434.29