Finding the Third Proportional to 83,094 and 116,595

Step by Step Solution

1. Step 1: Write the proportion equation
   83,094 : 116,595 = 116,595 : x
2. Step 2: Convert to fraction form
   83,094/116,595 = 116,595/x
3. Step 3: Cross multiply
   83,094x = 116,595 × 116,595
4. Step 4: Simplify right side
   83,094x = 13,594,394,025
5. Step 5: Solve for x
   x = 13,594,394,025/83,094
6. Step 6: Final answer
   x = 163,602.59