Finding the Third Proportional to 45,513 and 98,478

Step by Step Solution

1. Step 1: Write the proportion equation
   45,513 : 98,478 = 98,478 : x
2. Step 2: Convert to fraction form
   45,513/98,478 = 98,478/x
3. Step 3: Cross multiply
   45,513x = 98,478 × 98,478
4. Step 4: Simplify right side
   45,513x = 9,697,916,484
5. Step 5: Solve for x
   x = 9,697,916,484/45,513
6. Step 6: Final answer
   x = 213,080.14