Finding the Third Proportional to 117,810 and 178,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,810 : 178,429.50 = 178,429.50 : x
2. Step 2: Convert to fraction form
   117,810/178,429.50 = 178,429.50/x
3. Step 3: Cross multiply
   117,810x = 178,429.50 × 178,429.50
4. Step 4: Simplify right side
   117,810x = 31,837,086,470.25
5. Step 5: Solve for x
   x = 31,837,086,470.25/117,810
6. Step 6: Final answer
   x = 270,240.95