Finding the Third Proportional to 61,770 and 126,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,770 : 126,457.50 = 126,457.50 : x
2. Step 2: Convert to fraction form
   61,770/126,457.50 = 126,457.50/x
3. Step 3: Cross multiply
   61,770x = 126,457.50 × 126,457.50
4. Step 4: Simplify right side
   61,770x = 15,991,499,306.25
5. Step 5: Solve for x
   x = 15,991,499,306.25/61,770
6. Step 6: Final answer
   x = 258,887.80