Finding the Third Proportional to 109,005.75 and 234,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,005.75 : 234,643.50 = 234,643.50 : x
2. Step 2: Convert to fraction form
   109,005.75/234,643.50 = 234,643.50/x
3. Step 3: Cross multiply
   109,005.75x = 234,643.50 × 234,643.50
4. Step 4: Simplify right side
   109,005.75x = 55,057,572,092.25
5. Step 5: Solve for x
   x = 55,057,572,092.25/109,005.75
6. Step 6: Final answer
   x = 505,088.70