Finding the Third Proportional to 53,436 and 114,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,436 : 114,022.50 = 114,022.50 : x
2. Step 2: Convert to fraction form
   53,436/114,022.50 = 114,022.50/x
3. Step 3: Cross multiply
   53,436x = 114,022.50 × 114,022.50
4. Step 4: Simplify right side
   53,436x = 13,001,130,506.25
5. Step 5: Solve for x
   x = 13,001,130,506.25/53,436
6. Step 6: Final answer
   x = 243,302.84