Finding the Third Proportional to 76,839.50 and 118,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,839.50 : 118,667.25 = 118,667.25 : x
2. Step 2: Convert to fraction form
   76,839.50/118,667.25 = 118,667.25/x
3. Step 3: Cross multiply
   76,839.50x = 118,667.25 × 118,667.25
4. Step 4: Simplify right side
   76,839.50x = 14,081,916,222.56
5. Step 5: Solve for x
   x = 14,081,916,222.56/76,839.50
6. Step 6: Final answer
   x = 183,264.03