Finding the Third Proportional to 102,699 and 153,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,699 : 153,643.50 = 153,643.50 : x
2. Step 2: Convert to fraction form
   102,699/153,643.50 = 153,643.50/x
3. Step 3: Cross multiply
   102,699x = 153,643.50 × 153,643.50
4. Step 4: Simplify right side
   102,699x = 23,606,325,092.25
5. Step 5: Solve for x
   x = 23,606,325,092.25/102,699
6. Step 6: Final answer
   x = 229,859.35