Finding the Third Proportional to 100,142 and 154,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,142 : 154,628.50 = 154,628.50 : x
2. Step 2: Convert to fraction form
   100,142/154,628.50 = 154,628.50/x
3. Step 3: Cross multiply
   100,142x = 154,628.50 × 154,628.50
4. Step 4: Simplify right side
   100,142x = 23,909,973,012.25
5. Step 5: Solve for x
   x = 23,909,973,012.25/100,142
6. Step 6: Final answer
   x = 238,760.69