Finding the Third Proportional to 100,855 and 137,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,855 : 137,038.50 = 137,038.50 : x
2. Step 2: Convert to fraction form
   100,855/137,038.50 = 137,038.50/x
3. Step 3: Cross multiply
   100,855x = 137,038.50 × 137,038.50
4. Step 4: Simplify right side
   100,855x = 18,779,550,482.25
5. Step 5: Solve for x
   x = 18,779,550,482.25/100,855
6. Step 6: Final answer
   x = 186,203.47