Finding the Third Proportional to 78,395.25 and 117,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,395.25 : 117,769.50 = 117,769.50 : x
2. Step 2: Convert to fraction form
   78,395.25/117,769.50 = 117,769.50/x
3. Step 3: Cross multiply
   78,395.25x = 117,769.50 × 117,769.50
4. Step 4: Simplify right side
   78,395.25x = 13,869,655,130.25
5. Step 5: Solve for x
   x = 13,869,655,130.25/78,395.25
6. Step 6: Final answer
   x = 176,919.59