Finding the Third Proportional to 53,643 and 114,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,643 : 114,409.50 = 114,409.50 : x
2. Step 2: Convert to fraction form
   53,643/114,409.50 = 114,409.50/x
3. Step 3: Cross multiply
   53,643x = 114,409.50 × 114,409.50
4. Step 4: Simplify right side
   53,643x = 13,089,533,690.25
5. Step 5: Solve for x
   x = 13,089,533,690.25/53,643
6. Step 6: Final answer
   x = 244,011.96