Finding the Third Proportional to 82,776 and 114,258

Step by Step Solution

1. Step 1: Write the proportion equation
   82,776 : 114,258 = 114,258 : x
2. Step 2: Convert to fraction form
   82,776/114,258 = 114,258/x
3. Step 3: Cross multiply
   82,776x = 114,258 × 114,258
4. Step 4: Simplify right side
   82,776x = 13,054,890,564
5. Step 5: Solve for x
   x = 13,054,890,564/82,776
6. Step 6: Final answer
   x = 157,713.47