Finding the Third Proportional to 53,590 and 116,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,590 : 116,403.50 = 116,403.50 : x
2. Step 2: Convert to fraction form
   53,590/116,403.50 = 116,403.50/x
3. Step 3: Cross multiply
   53,590x = 116,403.50 × 116,403.50
4. Step 4: Simplify right side
   53,590x = 13,549,774,812.25
5. Step 5: Solve for x
   x = 13,549,774,812.25/53,590
6. Step 6: Final answer
   x = 252,841.48