Finding the Third Proportional to 102,667.50 and 153,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,667.50 : 153,583.50 = 153,583.50 : x
2. Step 2: Convert to fraction form
   102,667.50/153,583.50 = 153,583.50/x
3. Step 3: Cross multiply
   102,667.50x = 153,583.50 × 153,583.50
4. Step 4: Simplify right side
   102,667.50x = 23,587,891,472.25
5. Step 5: Solve for x
   x = 23,587,891,472.25/102,667.50
6. Step 6: Final answer
   x = 229,750.32