Finding the Third Proportional to 78,248 and 117,746

Step by Step Solution

1. Step 1: Write the proportion equation
   78,248 : 117,746 = 117,746 : x
2. Step 2: Convert to fraction form
   78,248/117,746 = 117,746/x
3. Step 3: Cross multiply
   78,248x = 117,746 × 117,746
4. Step 4: Simplify right side
   78,248x = 13,864,120,516
5. Step 5: Solve for x
   x = 13,864,120,516/78,248
6. Step 6: Final answer
   x = 177,181.79