Finding the Third Proportional to 83,598 and 116,937

Step by Step Solution

1. Step 1: Write the proportion equation
   83,598 : 116,937 = 116,937 : x
2. Step 2: Convert to fraction form
   83,598/116,937 = 116,937/x
3. Step 3: Cross multiply
   83,598x = 116,937 × 116,937
4. Step 4: Simplify right side
   83,598x = 13,674,261,969
5. Step 5: Solve for x
   x = 13,674,261,969/83,598
6. Step 6: Final answer
   x = 163,571.64