Finding the Third Proportional to 82,588 and 131,248

Step by Step Solution

1. Step 1: Write the proportion equation
   82,588 : 131,248 = 131,248 : x
2. Step 2: Convert to fraction form
   82,588/131,248 = 131,248/x
3. Step 3: Cross multiply
   82,588x = 131,248 × 131,248
4. Step 4: Simplify right side
   82,588x = 17,226,037,504
5. Step 5: Solve for x
   x = 17,226,037,504/82,588
6. Step 6: Final answer
   x = 208,577.97