Finding the Third Proportional to 109,111.50 and 234,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,111.50 : 234,823.50 = 234,823.50 : x
2. Step 2: Convert to fraction form
   109,111.50/234,823.50 = 234,823.50/x
3. Step 3: Cross multiply
   109,111.50x = 234,823.50 × 234,823.50
4. Step 4: Simplify right side
   109,111.50x = 55,142,076,152.25
5. Step 5: Solve for x
   x = 55,142,076,152.25/109,111.50
6. Step 6: Final answer
   x = 505,373.64