Finding the Third Proportional to 109,545 and 176,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,545 : 176,365.50 = 176,365.50 : x
2. Step 2: Convert to fraction form
   109,545/176,365.50 = 176,365.50/x
3. Step 3: Cross multiply
   109,545x = 176,365.50 × 176,365.50
4. Step 4: Simplify right side
   109,545x = 31,104,789,590.25
5. Step 5: Solve for x
   x = 31,104,789,590.25/109,545
6. Step 6: Final answer
   x = 283,945.32