Finding the Third Proportional to 78,002 and 117,706

Step by Step Solution

1. Step 1: Write the proportion equation
   78,002 : 117,706 = 117,706 : x
2. Step 2: Convert to fraction form
   78,002/117,706 = 117,706/x
3. Step 3: Cross multiply
   78,002x = 117,706 × 117,706
4. Step 4: Simplify right side
   78,002x = 13,854,702,436
5. Step 5: Solve for x
   x = 13,854,702,436/78,002
6. Step 6: Final answer
   x = 177,619.84