Finding the Third Proportional to 78,336 and 117,209.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,336 : 117,209.25 = 117,209.25 : x
2. Step 2: Convert to fraction form
   78,336/117,209.25 = 117,209.25/x
3. Step 3: Cross multiply
   78,336x = 117,209.25 × 117,209.25
4. Step 4: Simplify right side
   78,336x = 13,738,008,285.56
5. Step 5: Solve for x
   x = 13,738,008,285.56/78,336
6. Step 6: Final answer
   x = 175,372.86