Finding the Third Proportional to 100,436 and 137,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,436 : 137,719.50 = 137,719.50 : x
2. Step 2: Convert to fraction form
   100,436/137,719.50 = 137,719.50/x
3. Step 3: Cross multiply
   100,436x = 137,719.50 × 137,719.50
4. Step 4: Simplify right side
   100,436x = 18,966,660,680.25
5. Step 5: Solve for x
   x = 18,966,660,680.25/100,436
6. Step 6: Final answer
   x = 188,843.25