Finding the Third Proportional to 82,623 and 131,316

Step by Step Solution

1. Step 1: Write the proportion equation
   82,623 : 131,316 = 131,316 : x
2. Step 2: Convert to fraction form
   82,623/131,316 = 131,316/x
3. Step 3: Cross multiply
   82,623x = 131,316 × 131,316
4. Step 4: Simplify right side
   82,623x = 17,243,891,856
5. Step 5: Solve for x
   x = 17,243,891,856/82,623
6. Step 6: Final answer
   x = 208,705.71