Finding the Third Proportional to 103,769 and 155,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,769 : 155,653.50 = 155,653.50 : x
2. Step 2: Convert to fraction form
   103,769/155,653.50 = 155,653.50/x
3. Step 3: Cross multiply
   103,769x = 155,653.50 × 155,653.50
4. Step 4: Simplify right side
   103,769x = 24,228,012,062.25
5. Step 5: Solve for x
   x = 24,228,012,062.25/103,769
6. Step 6: Final answer
   x = 233,480.25