Finding the Third Proportional to 81,783 and 175,388.63

Step by Step Solution

1. Step 1: Write the proportion equation
   81,783 : 175,388.63 = 175,388.63 : x
2. Step 2: Convert to fraction form
   81,783/175,388.63 = 175,388.63/x
3. Step 3: Cross multiply
   81,783x = 175,388.63 × 175,388.63
4. Step 4: Simplify right side
   81,783x = 30,761,169,779.39
5. Step 5: Solve for x
   x = 30,761,169,779.39/81,783
6. Step 6: Final answer
   x = 376,131.59