Finding the Third Proportional to 102,616.50 and 153,513

Step by Step Solution

1. Step 1: Write the proportion equation
   102,616.50 : 153,513 = 153,513 : x
2. Step 2: Convert to fraction form
   102,616.50/153,513 = 153,513/x
3. Step 3: Cross multiply
   102,616.50x = 153,513 × 153,513
4. Step 4: Simplify right side
   102,616.50x = 23,566,241,169
5. Step 5: Solve for x
   x = 23,566,241,169/102,616.50
6. Step 6: Final answer
   x = 229,653.53