Finding the Third Proportional to 78,914 and 118,083

Step by Step Solution

1. Step 1: Write the proportion equation
   78,914 : 118,083 = 118,083 : x
2. Step 2: Convert to fraction form
   78,914/118,083 = 118,083/x
3. Step 3: Cross multiply
   78,914x = 118,083 × 118,083
4. Step 4: Simplify right side
   78,914x = 13,943,594,889
5. Step 5: Solve for x
   x = 13,943,594,889/78,914
6. Step 6: Final answer
   x = 176,693.55