Finding the Third Proportional to 81,922.50 and 118,388.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,922.50 : 118,388.25 = 118,388.25 : x
2. Step 2: Convert to fraction form
   81,922.50/118,388.25 = 118,388.25/x
3. Step 3: Cross multiply
   81,922.50x = 118,388.25 × 118,388.25
4. Step 4: Simplify right side
   81,922.50x = 14,015,777,738.06
5. Step 5: Solve for x
   x = 14,015,777,738.06/81,922.50
6. Step 6: Final answer
   x = 171,085.82