Finding the Third Proportional to 100,863 and 137,050.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,863 : 137,050.50 = 137,050.50 : x
2. Step 2: Convert to fraction form
   100,863/137,050.50 = 137,050.50/x
3. Step 3: Cross multiply
   100,863x = 137,050.50 × 137,050.50
4. Step 4: Simplify right side
   100,863x = 18,782,839,550.25
5. Step 5: Solve for x
   x = 18,782,839,550.25/100,863
6. Step 6: Final answer
   x = 186,221.31