Finding the Third Proportional to 100,424 and 142,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,424 : 142,768.50 = 142,768.50 : x
2. Step 2: Convert to fraction form
   100,424/142,768.50 = 142,768.50/x
3. Step 3: Cross multiply
   100,424x = 142,768.50 × 142,768.50
4. Step 4: Simplify right side
   100,424x = 20,382,844,592.25
5. Step 5: Solve for x
   x = 20,382,844,592.25/100,424
6. Step 6: Final answer
   x = 202,967.86