Finding the Third Proportional to 138,582 and 193,079.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,582 : 193,079.25 = 193,079.25 : x
2. Step 2: Convert to fraction form
   138,582/193,079.25 = 193,079.25/x
3. Step 3: Cross multiply
   138,582x = 193,079.25 × 193,079.25
4. Step 4: Simplify right side
   138,582x = 37,279,596,780.56
5. Step 5: Solve for x
   x = 37,279,596,780.56/138,582
6. Step 6: Final answer
   x = 269,007.50