Finding the Third Proportional to 76,684.50 and 117,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,684.50 : 117,706.50 = 117,706.50 : x
2. Step 2: Convert to fraction form
   76,684.50/117,706.50 = 117,706.50/x
3. Step 3: Cross multiply
   76,684.50x = 117,706.50 × 117,706.50
4. Step 4: Simplify right side
   76,684.50x = 13,854,820,142.25
5. Step 5: Solve for x
   x = 13,854,820,142.25/76,684.50
6. Step 6: Final answer
   x = 180,673.02