Finding the Third Proportional to 53,096.50 and 114,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,096.50 : 114,063.50 = 114,063.50 : x
2. Step 2: Convert to fraction form
   53,096.50/114,063.50 = 114,063.50/x
3. Step 3: Cross multiply
   53,096.50x = 114,063.50 × 114,063.50
4. Step 4: Simplify right side
   53,096.50x = 13,010,482,032.25
5. Step 5: Solve for x
   x = 13,010,482,032.25/53,096.50
6. Step 6: Final answer
   x = 245,034.65