Finding the Third Proportional to 78,265 and 116,937

Step by Step Solution

1. Step 1: Write the proportion equation
   78,265 : 116,937 = 116,937 : x
2. Step 2: Convert to fraction form
   78,265/116,937 = 116,937/x
3. Step 3: Cross multiply
   78,265x = 116,937 × 116,937
4. Step 4: Simplify right side
   78,265x = 13,674,261,969
5. Step 5: Solve for x
   x = 13,674,261,969/78,265
6. Step 6: Final answer
   x = 174,717.46