Finding the Third Proportional to 83,283.50 and 118,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,283.50 : 118,697.50 = 118,697.50 : x
2. Step 2: Convert to fraction form
   83,283.50/118,697.50 = 118,697.50/x
3. Step 3: Cross multiply
   83,283.50x = 118,697.50 × 118,697.50
4. Step 4: Simplify right side
   83,283.50x = 14,089,096,506.25
5. Step 5: Solve for x
   x = 14,089,096,506.25/83,283.50
6. Step 6: Final answer
   x = 169,170.32