Finding the Third Proportional to 78,341 and 117,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,341 : 117,165.50 = 117,165.50 : x
2. Step 2: Convert to fraction form
   78,341/117,165.50 = 117,165.50/x
3. Step 3: Cross multiply
   78,341x = 117,165.50 × 117,165.50
4. Step 4: Simplify right side
   78,341x = 13,727,754,390.25
5. Step 5: Solve for x
   x = 13,727,754,390.25/78,341
6. Step 6: Final answer
   x = 175,230.78