Finding the Third Proportional to 52,546 and 115,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,546 : 115,311.50 = 115,311.50 : x
2. Step 2: Convert to fraction form
   52,546/115,311.50 = 115,311.50/x
3. Step 3: Cross multiply
   52,546x = 115,311.50 × 115,311.50
4. Step 4: Simplify right side
   52,546x = 13,296,742,032.25
5. Step 5: Solve for x
   x = 13,296,742,032.25/52,546
6. Step 6: Final answer
   x = 253,049.56