Finding the Third Proportional to 103,639 and 152,059

Step by Step Solution

1. Step 1: Write the proportion equation
   103,639 : 152,059 = 152,059 : x
2. Step 2: Convert to fraction form
   103,639/152,059 = 152,059/x
3. Step 3: Cross multiply
   103,639x = 152,059 × 152,059
4. Step 4: Simplify right side
   103,639x = 23,121,939,481
5. Step 5: Solve for x
   x = 23,121,939,481/103,639
6. Step 6: Final answer
   x = 223,100.76