Finding the Third Proportional to 116,527.50 and 253,814.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,527.50 : 253,814.25 = 253,814.25 : x
2. Step 2: Convert to fraction form
   116,527.50/253,814.25 = 253,814.25/x
3. Step 3: Cross multiply
   116,527.50x = 253,814.25 × 253,814.25
4. Step 4: Simplify right side
   116,527.50x = 64,421,673,503.06
5. Step 5: Solve for x
   x = 64,421,673,503.06/116,527.50
6. Step 6: Final answer
   x = 552,845.24