Finding the Third Proportional to 52,603.50 and 116,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,603.50 : 116,281.50 = 116,281.50 : x
2. Step 2: Convert to fraction form
   52,603.50/116,281.50 = 116,281.50/x
3. Step 3: Cross multiply
   52,603.50x = 116,281.50 × 116,281.50
4. Step 4: Simplify right side
   52,603.50x = 13,521,387,242.25
5. Step 5: Solve for x
   x = 13,521,387,242.25/52,603.50
6. Step 6: Final answer
   x = 257,043.49