Finding the Third Proportional to 53,316.50 and 116,677

Step by Step Solution

1. Step 1: Write the proportion equation
   53,316.50 : 116,677 = 116,677 : x
2. Step 2: Convert to fraction form
   53,316.50/116,677 = 116,677/x
3. Step 3: Cross multiply
   53,316.50x = 116,677 × 116,677
4. Step 4: Simplify right side
   53,316.50x = 13,613,522,329
5. Step 5: Solve for x
   x = 13,613,522,329/53,316.50
6. Step 6: Final answer
   x = 255,334.13