Finding the Third Proportional to 102,384 and 154,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,384 : 154,669.50 = 154,669.50 : x
2. Step 2: Convert to fraction form
   102,384/154,669.50 = 154,669.50/x
3. Step 3: Cross multiply
   102,384x = 154,669.50 × 154,669.50
4. Step 4: Simplify right side
   102,384x = 23,922,654,230.25
5. Step 5: Solve for x
   x = 23,922,654,230.25/102,384
6. Step 6: Final answer
   x = 233,656.18