Finding the Third Proportional to 117,588 and 176,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,588 : 176,650.50 = 176,650.50 : x
2. Step 2: Convert to fraction form
   117,588/176,650.50 = 176,650.50/x
3. Step 3: Cross multiply
   117,588x = 176,650.50 × 176,650.50
4. Step 4: Simplify right side
   117,588x = 31,205,399,150.25
5. Step 5: Solve for x
   x = 31,205,399,150.25/117,588
6. Step 6: Final answer
   x = 265,379.11