Finding the Third Proportional to 59,256 and 83,214

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 83,214 = 83,214 : x
2. Step 2: Convert to fraction form
   59,256/83,214 = 83,214/x
3. Step 3: Cross multiply
   59,256x = 83,214 × 83,214
4. Step 4: Simplify right side
   59,256x = 6,924,569,796
5. Step 5: Solve for x
   x = 6,924,569,796/59,256
6. Step 6: Final answer
   x = 116,858.54