Finding the Third Proportional to 115,830 and 253,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,830 : 253,804.50 = 253,804.50 : x
2. Step 2: Convert to fraction form
   115,830/253,804.50 = 253,804.50/x
3. Step 3: Cross multiply
   115,830x = 253,804.50 × 253,804.50
4. Step 4: Simplify right side
   115,830x = 64,416,724,220.25
5. Step 5: Solve for x
   x = 64,416,724,220.25/115,830
6. Step 6: Final answer
   x = 556,131.61