Finding the Third Proportional to 117,024 and 176,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,024 : 176,359.50 = 176,359.50 : x
2. Step 2: Convert to fraction form
   117,024/176,359.50 = 176,359.50/x
3. Step 3: Cross multiply
   117,024x = 176,359.50 × 176,359.50
4. Step 4: Simplify right side
   117,024x = 31,102,673,240.25
5. Step 5: Solve for x
   x = 31,102,673,240.25/117,024
6. Step 6: Final answer
   x = 265,780.29