Finding the Third Proportional to 38,333.25 and 83,313.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,333.25 : 83,313.56 = 83,313.56 : x
2. Step 2: Convert to fraction form
   38,333.25/83,313.56 = 83,313.56/x
3. Step 3: Cross multiply
   38,333.25x = 83,313.56 × 83,313.56
4. Step 4: Simplify right side
   38,333.25x = 6,941,149,696.44
5. Step 5: Solve for x
   x = 6,941,149,696.44/38,333.25
6. Step 6: Final answer
   x = 181,073.86