Finding the Third Proportional to 82,770 and 111,783

Step by Step Solution

1. Step 1: Write the proportion equation
   82,770 : 111,783 = 111,783 : x
2. Step 2: Convert to fraction form
   82,770/111,783 = 111,783/x
3. Step 3: Cross multiply
   82,770x = 111,783 × 111,783
4. Step 4: Simplify right side
   82,770x = 12,495,439,089
5. Step 5: Solve for x
   x = 12,495,439,089/82,770
6. Step 6: Final answer
   x = 150,965.80