Finding the Third Proportional to 138,145.50 and 181,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,145.50 : 181,642.50 = 181,642.50 : x
2. Step 2: Convert to fraction form
   138,145.50/181,642.50 = 181,642.50/x
3. Step 3: Cross multiply
   138,145.50x = 181,642.50 × 181,642.50
4. Step 4: Simplify right side
   138,145.50x = 32,993,997,806.25
5. Step 5: Solve for x
   x = 32,993,997,806.25/138,145.50
6. Step 6: Final answer
   x = 238,835.13