Finding the Third Proportional to 102,642 and 153,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,642 : 153,553.50 = 153,553.50 : x
2. Step 2: Convert to fraction form
   102,642/153,553.50 = 153,553.50/x
3. Step 3: Cross multiply
   102,642x = 153,553.50 × 153,553.50
4. Step 4: Simplify right side
   102,642x = 23,578,677,362.25
5. Step 5: Solve for x
   x = 23,578,677,362.25/102,642
6. Step 6: Final answer
   x = 229,717.63