Finding the Third Proportional to 81,783 and 124,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,783 : 124,564.50 = 124,564.50 : x
2. Step 2: Convert to fraction form
   81,783/124,564.50 = 124,564.50/x
3. Step 3: Cross multiply
   81,783x = 124,564.50 × 124,564.50
4. Step 4: Simplify right side
   81,783x = 15,516,314,660.25
5. Step 5: Solve for x
   x = 15,516,314,660.25/81,783
6. Step 6: Final answer
   x = 189,725.43