Finding the Third Proportional to 37,258 and 78,656

Step by Step Solution

1. Step 1: Write the proportion equation
   37,258 : 78,656 = 78,656 : x
2. Step 2: Convert to fraction form
   37,258/78,656 = 78,656/x
3. Step 3: Cross multiply
   37,258x = 78,656 × 78,656
4. Step 4: Simplify right side
   37,258x = 6,186,766,336
5. Step 5: Solve for x
   x = 6,186,766,336/37,258
6. Step 6: Final answer
   x = 166,052.02