Finding the Third Proportional to 78,383.25 and 117,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,383.25 : 117,751.50 = 117,751.50 : x
2. Step 2: Convert to fraction form
   78,383.25/117,751.50 = 117,751.50/x
3. Step 3: Cross multiply
   78,383.25x = 117,751.50 × 117,751.50
4. Step 4: Simplify right side
   78,383.25x = 13,865,415,752.25
5. Step 5: Solve for x
   x = 13,865,415,752.25/78,383.25
6. Step 6: Final answer
   x = 176,892.59