Finding the Third Proportional to 82,056 and 117,342

Step by Step Solution

1. Step 1: Write the proportion equation
   82,056 : 117,342 = 117,342 : x
2. Step 2: Convert to fraction form
   82,056/117,342 = 117,342/x
3. Step 3: Cross multiply
   82,056x = 117,342 × 117,342
4. Step 4: Simplify right side
   82,056x = 13,769,144,964
5. Step 5: Solve for x
   x = 13,769,144,964/82,056
6. Step 6: Final answer
   x = 167,801.81