Finding the Third Proportional to 100,857 and 137,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,857 : 137,041.50 = 137,041.50 : x
2. Step 2: Convert to fraction form
   100,857/137,041.50 = 137,041.50/x
3. Step 3: Cross multiply
   100,857x = 137,041.50 × 137,041.50
4. Step 4: Simplify right side
   100,857x = 18,780,372,722.25
5. Step 5: Solve for x
   x = 18,780,372,722.25/100,857
6. Step 6: Final answer
   x = 186,207.93