Finding the Third Proportional to 78,340 and 117,684

Step by Step Solution

1. Step 1: Write the proportion equation
   78,340 : 117,684 = 117,684 : x
2. Step 2: Convert to fraction form
   78,340/117,684 = 117,684/x
3. Step 3: Cross multiply
   78,340x = 117,684 × 117,684
4. Step 4: Simplify right side
   78,340x = 13,849,523,856
5. Step 5: Solve for x
   x = 13,849,523,856/78,340
6. Step 6: Final answer
   x = 176,787.39