Finding the Third Proportional to 82,140 and 90,780

Step by Step Solution

1. Step 1: Write the proportion equation
   82,140 : 90,780 = 90,780 : x
2. Step 2: Convert to fraction form
   82,140/90,780 = 90,780/x
3. Step 3: Cross multiply
   82,140x = 90,780 × 90,780
4. Step 4: Simplify right side
   82,140x = 8,241,008,400
5. Step 5: Solve for x
   x = 8,241,008,400/82,140
6. Step 6: Final answer
   x = 100,328.81