Finding the Third Proportional to 53,578 and 116,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,578 : 116,677.50 = 116,677.50 : x
2. Step 2: Convert to fraction form
   53,578/116,677.50 = 116,677.50/x
3. Step 3: Cross multiply
   53,578x = 116,677.50 × 116,677.50
4. Step 4: Simplify right side
   53,578x = 13,613,639,006.25
5. Step 5: Solve for x
   x = 13,613,639,006.25/53,578
6. Step 6: Final answer
   x = 254,090.09