Finding the Third Proportional to 103,584 and 151,950

Step by Step Solution

1. Step 1: Write the proportion equation
   103,584 : 151,950 = 151,950 : x
2. Step 2: Convert to fraction form
   103,584/151,950 = 151,950/x
3. Step 3: Cross multiply
   103,584x = 151,950 × 151,950
4. Step 4: Simplify right side
   103,584x = 23,088,802,500
5. Step 5: Solve for x
   x = 23,088,802,500/103,584
6. Step 6: Final answer
   x = 222,899.31