Finding the Third Proportional to 138,798.56 and 188,089.59

Step by Step Solution

1. Step 1: Write the proportion equation
   138,798.56 : 188,089.59 = 188,089.59 : x
2. Step 2: Convert to fraction form
   138,798.56/188,089.59 = 188,089.59/x
3. Step 3: Cross multiply
   138,798.56x = 188,089.59 × 188,089.59
4. Step 4: Simplify right side
   138,798.56x = 35,377,695,277.04
5. Step 5: Solve for x
   x = 35,377,695,277.04/138,798.56
6. Step 6: Final answer
   x = 254,885.17