Finding the Third Proportional to 53,757 and 114,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,757 : 114,898.50 = 114,898.50 : x
2. Step 2: Convert to fraction form
   53,757/114,898.50 = 114,898.50/x
3. Step 3: Cross multiply
   53,757x = 114,898.50 × 114,898.50
4. Step 4: Simplify right side
   53,757x = 13,201,665,302.25
5. Step 5: Solve for x
   x = 13,201,665,302.25/53,757
6. Step 6: Final answer
   x = 245,580.40