Finding the Third Proportional to 84,242.50 and 126,706

Step by Step Solution

1. Step 1: Write the proportion equation
   84,242.50 : 126,706 = 126,706 : x
2. Step 2: Convert to fraction form
   84,242.50/126,706 = 126,706/x
3. Step 3: Cross multiply
   84,242.50x = 126,706 × 126,706
4. Step 4: Simplify right side
   84,242.50x = 16,054,410,436
5. Step 5: Solve for x
   x = 16,054,410,436/84,242.50
6. Step 6: Final answer
   x = 190,573.77