Finding the Third Proportional to 82,174 and 117,429

Step by Step Solution

1. Step 1: Write the proportion equation
   82,174 : 117,429 = 117,429 : x
2. Step 2: Convert to fraction form
   82,174/117,429 = 117,429/x
3. Step 3: Cross multiply
   82,174x = 117,429 × 117,429
4. Step 4: Simplify right side
   82,174x = 13,789,570,041
5. Step 5: Solve for x
   x = 13,789,570,041/82,174
6. Step 6: Final answer
   x = 167,809.40