Finding the Third Proportional to 100,747.50 and 149,712

Step by Step Solution

1. Step 1: Write the proportion equation
   100,747.50 : 149,712 = 149,712 : x
2. Step 2: Convert to fraction form
   100,747.50/149,712 = 149,712/x
3. Step 3: Cross multiply
   100,747.50x = 149,712 × 149,712
4. Step 4: Simplify right side
   100,747.50x = 22,413,682,944
5. Step 5: Solve for x
   x = 22,413,682,944/100,747.50
6. Step 6: Final answer
   x = 222,473.84