Finding the Third Proportional to 100,211 and 140,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,211 : 140,109.50 = 140,109.50 : x
2. Step 2: Convert to fraction form
   100,211/140,109.50 = 140,109.50/x
3. Step 3: Cross multiply
   100,211x = 140,109.50 × 140,109.50
4. Step 4: Simplify right side
   100,211x = 19,630,671,990.25
5. Step 5: Solve for x
   x = 19,630,671,990.25/100,211
6. Step 6: Final answer
   x = 195,893.38