Finding the Third Proportional to 71,424 and 154,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,424 : 154,741.50 = 154,741.50 : x
2. Step 2: Convert to fraction form
   71,424/154,741.50 = 154,741.50/x
3. Step 3: Cross multiply
   71,424x = 154,741.50 × 154,741.50
4. Step 4: Simplify right side
   71,424x = 23,944,931,822.25
5. Step 5: Solve for x
   x = 23,944,931,822.25/71,424
6. Step 6: Final answer
   x = 335,250.50