Finding the Third Proportional to 82,377 and 131,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,377 : 131,395.50 = 131,395.50 : x
2. Step 2: Convert to fraction form
   82,377/131,395.50 = 131,395.50/x
3. Step 3: Cross multiply
   82,377x = 131,395.50 × 131,395.50
4. Step 4: Simplify right side
   82,377x = 17,264,777,420.25
5. Step 5: Solve for x
   x = 17,264,777,420.25/82,377
6. Step 6: Final answer
   x = 209,582.50