Finding the Third Proportional to 53,730 and 116,789

Step by Step Solution

1. Step 1: Write the proportion equation
   53,730 : 116,789 = 116,789 : x
2. Step 2: Convert to fraction form
   53,730/116,789 = 116,789/x
3. Step 3: Cross multiply
   53,730x = 116,789 × 116,789
4. Step 4: Simplify right side
   53,730x = 13,639,670,521
5. Step 5: Solve for x
   x = 13,639,670,521/53,730
6. Step 6: Final answer
   x = 253,855.77