Finding the Third Proportional to 45,730 and 99,838

Step by Step Solution

1. Step 1: Write the proportion equation
   45,730 : 99,838 = 99,838 : x
2. Step 2: Convert to fraction form
   45,730/99,838 = 99,838/x
3. Step 3: Cross multiply
   45,730x = 99,838 × 99,838
4. Step 4: Simplify right side
   45,730x = 9,967,626,244
5. Step 5: Solve for x
   x = 9,967,626,244/45,730
6. Step 6: Final answer
   x = 217,966.90