Finding the Third Proportional to 82,710 and 116,475.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,710 : 116,475.75 = 116,475.75 : x
2. Step 2: Convert to fraction form
   82,710/116,475.75 = 116,475.75/x
3. Step 3: Cross multiply
   82,710x = 116,475.75 × 116,475.75
4. Step 4: Simplify right side
   82,710x = 13,566,600,338.06
5. Step 5: Solve for x
   x = 13,566,600,338.06/82,710
6. Step 6: Final answer
   x = 164,026.12