Finding the Third Proportional to 35,910 and 78,258

Step by Step Solution

1. Step 1: Write the proportion equation
   35,910 : 78,258 = 78,258 : x
2. Step 2: Convert to fraction form
   35,910/78,258 = 78,258/x
3. Step 3: Cross multiply
   35,910x = 78,258 × 78,258
4. Step 4: Simplify right side
   35,910x = 6,124,314,564
5. Step 5: Solve for x
   x = 6,124,314,564/35,910
6. Step 6: Final answer
   x = 170,546.21