Finding the Third Proportional to 105,509 and 151,138

Step by Step Solution

1. Step 1: Write the proportion equation
   105,509 : 151,138 = 151,138 : x
2. Step 2: Convert to fraction form
   105,509/151,138 = 151,138/x
3. Step 3: Cross multiply
   105,509x = 151,138 × 151,138
4. Step 4: Simplify right side
   105,509x = 22,842,695,044
5. Step 5: Solve for x
   x = 22,842,695,044/105,509
6. Step 6: Final answer
   x = 216,499.97