Finding the Third Proportional to 82,029 and 117,300

Step by Step Solution

1. Step 1: Write the proportion equation
   82,029 : 117,300 = 117,300 : x
2. Step 2: Convert to fraction form
   82,029/117,300 = 117,300/x
3. Step 3: Cross multiply
   82,029x = 117,300 × 117,300
4. Step 4: Simplify right side
   82,029x = 13,759,290,000
5. Step 5: Solve for x
   x = 13,759,290,000/82,029
6. Step 6: Final answer
   x = 167,736.90