Finding the Third Proportional to 83,250 and 132,410

Step by Step Solution

1. Step 1: Write the proportion equation
   83,250 : 132,410 = 132,410 : x
2. Step 2: Convert to fraction form
   83,250/132,410 = 132,410/x
3. Step 3: Cross multiply
   83,250x = 132,410 × 132,410
4. Step 4: Simplify right side
   83,250x = 17,532,408,100
5. Step 5: Solve for x
   x = 17,532,408,100/83,250
6. Step 6: Final answer
   x = 210,599.50