Finding the Third Proportional to 116,521 and 128,833

Step by Step Solution

1. Step 1: Write the proportion equation
   116,521 : 128,833 = 128,833 : x
2. Step 2: Convert to fraction form
   116,521/128,833 = 128,833/x
3. Step 3: Cross multiply
   116,521x = 128,833 × 128,833
4. Step 4: Simplify right side
   116,521x = 16,597,941,889
5. Step 5: Solve for x
   x = 16,597,941,889/116,521
6. Step 6: Final answer
   x = 142,445.93