Finding the Third Proportional to 78,342 and 117,688

Step by Step Solution

1. Step 1: Write the proportion equation
   78,342 : 117,688 = 117,688 : x
2. Step 2: Convert to fraction form
   78,342/117,688 = 117,688/x
3. Step 3: Cross multiply
   78,342x = 117,688 × 117,688
4. Step 4: Simplify right side
   78,342x = 13,850,465,344
5. Step 5: Solve for x
   x = 13,850,465,344/78,342
6. Step 6: Final answer
   x = 176,794.89