Finding the Third Proportional to 49,582.50 and 109,047

Step by Step Solution

1. Step 1: Write the proportion equation
   49,582.50 : 109,047 = 109,047 : x
2. Step 2: Convert to fraction form
   49,582.50/109,047 = 109,047/x
3. Step 3: Cross multiply
   49,582.50x = 109,047 × 109,047
4. Step 4: Simplify right side
   49,582.50x = 11,891,248,209
5. Step 5: Solve for x
   x = 11,891,248,209/49,582.50
6. Step 6: Final answer
   x = 239,827.52