Finding the Third Proportional to 100,188 and 140,076

Step by Step Solution

1. Step 1: Write the proportion equation
   100,188 : 140,076 = 140,076 : x
2. Step 2: Convert to fraction form
   100,188/140,076 = 140,076/x
3. Step 3: Cross multiply
   100,188x = 140,076 × 140,076
4. Step 4: Simplify right side
   100,188x = 19,621,285,776
5. Step 5: Solve for x
   x = 19,621,285,776/100,188
6. Step 6: Final answer
   x = 195,844.67