Finding the Third Proportional to 53,605 and 114,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,605 : 114,328.50 = 114,328.50 : x
2. Step 2: Convert to fraction form
   53,605/114,328.50 = 114,328.50/x
3. Step 3: Cross multiply
   53,605x = 114,328.50 × 114,328.50
4. Step 4: Simplify right side
   53,605x = 13,071,005,912.25
5. Step 5: Solve for x
   x = 13,071,005,912.25/53,605
6. Step 6: Final answer
   x = 243,839.30