Finding the Third Proportional to 52,165 and 78,258

Step by Step Solution

1. Step 1: Write the proportion equation
   52,165 : 78,258 = 78,258 : x
2. Step 2: Convert to fraction form
   52,165/78,258 = 78,258/x
3. Step 3: Cross multiply
   52,165x = 78,258 × 78,258
4. Step 4: Simplify right side
   52,165x = 6,124,314,564
5. Step 5: Solve for x
   x = 6,124,314,564/52,165
6. Step 6: Final answer
   x = 117,402.75