Finding the Third Proportional to 102,758 and 153,444

Step by Step Solution

1. Step 1: Write the proportion equation
   102,758 : 153,444 = 153,444 : x
2. Step 2: Convert to fraction form
   102,758/153,444 = 153,444/x
3. Step 3: Cross multiply
   102,758x = 153,444 × 153,444
4. Step 4: Simplify right side
   102,758x = 23,545,061,136
5. Step 5: Solve for x
   x = 23,545,061,136/102,758
6. Step 6: Final answer
   x = 229,131.17