Finding the Third Proportional to 45,914 and 98,830

Step by Step Solution

1. Step 1: Write the proportion equation
   45,914 : 98,830 = 98,830 : x
2. Step 2: Convert to fraction form
   45,914/98,830 = 98,830/x
3. Step 3: Cross multiply
   45,914x = 98,830 × 98,830
4. Step 4: Simplify right side
   45,914x = 9,767,368,900
5. Step 5: Solve for x
   x = 9,767,368,900/45,914
6. Step 6: Final answer
   x = 212,731.82