Finding the Third Proportional to 135,785.50 and 205,426

Step by Step Solution

1. Step 1: Write the proportion equation
   135,785.50 : 205,426 = 205,426 : x
2. Step 2: Convert to fraction form
   135,785.50/205,426 = 205,426/x
3. Step 3: Cross multiply
   135,785.50x = 205,426 × 205,426
4. Step 4: Simplify right side
   135,785.50x = 42,199,841,476
5. Step 5: Solve for x
   x = 42,199,841,476/135,785.50
6. Step 6: Final answer
   x = 310,783.12