Finding the Third Proportional to 117,795 and 175,092.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,795 : 175,092.50 = 175,092.50 : x
2. Step 2: Convert to fraction form
   117,795/175,092.50 = 175,092.50/x
3. Step 3: Cross multiply
   117,795x = 175,092.50 × 175,092.50
4. Step 4: Simplify right side
   117,795x = 30,657,383,556.25
5. Step 5: Solve for x
   x = 30,657,383,556.25/117,795
6. Step 6: Final answer
   x = 260,260.48