Finding the Third Proportional to 117,505 and 176,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,505 : 176,518.50 = 176,518.50 : x
2. Step 2: Convert to fraction form
   117,505/176,518.50 = 176,518.50/x
3. Step 3: Cross multiply
   117,505x = 176,518.50 × 176,518.50
4. Step 4: Simplify right side
   117,505x = 31,158,780,842.25
5. Step 5: Solve for x
   x = 31,158,780,842.25/117,505
6. Step 6: Final answer
   x = 265,169.83