Finding the Third Proportional to 92,785.50 and 206,820

Step by Step Solution

1. Step 1: Write the proportion equation
   92,785.50 : 206,820 = 206,820 : x
2. Step 2: Convert to fraction form
   92,785.50/206,820 = 206,820/x
3. Step 3: Cross multiply
   92,785.50x = 206,820 × 206,820
4. Step 4: Simplify right side
   92,785.50x = 42,774,512,400
5. Step 5: Solve for x
   x = 42,774,512,400/92,785.50
6. Step 6: Final answer
   x = 461,004.28