Finding the Third Proportional to 53,507 and 126,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,507 : 126,538.50 = 126,538.50 : x
2. Step 2: Convert to fraction form
   53,507/126,538.50 = 126,538.50/x
3. Step 3: Cross multiply
   53,507x = 126,538.50 × 126,538.50
4. Step 4: Simplify right side
   53,507x = 16,011,991,982.25
5. Step 5: Solve for x
   x = 16,011,991,982.25/53,507
6. Step 6: Final answer
   x = 299,250.42