Finding the Third Proportional to 100,210 and 140,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,210 : 140,107.50 = 140,107.50 : x
2. Step 2: Convert to fraction form
   100,210/140,107.50 = 140,107.50/x
3. Step 3: Cross multiply
   100,210x = 140,107.50 × 140,107.50
4. Step 4: Simplify right side
   100,210x = 19,630,111,556.25
5. Step 5: Solve for x
   x = 19,630,111,556.25/100,210
6. Step 6: Final answer
   x = 195,889.75