Finding the Third Proportional to 45,870 and 99,084

Step by Step Solution

1. Step 1: Write the proportion equation
   45,870 : 99,084 = 99,084 : x
2. Step 2: Convert to fraction form
   45,870/99,084 = 99,084/x
3. Step 3: Cross multiply
   45,870x = 99,084 × 99,084
4. Step 4: Simplify right side
   45,870x = 9,817,639,056
5. Step 5: Solve for x
   x = 9,817,639,056/45,870
6. Step 6: Final answer
   x = 214,031.81