Finding the Third Proportional to 53,262 and 116,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,262 : 116,545.50 = 116,545.50 : x
2. Step 2: Convert to fraction form
   53,262/116,545.50 = 116,545.50/x
3. Step 3: Cross multiply
   53,262x = 116,545.50 × 116,545.50
4. Step 4: Simplify right side
   53,262x = 13,582,853,570.25
5. Step 5: Solve for x
   x = 13,582,853,570.25/53,262
6. Step 6: Final answer
   x = 255,019.59