Finding the Third Proportional to 75,576 and 112,969.25

Step by Step Solution

1. Step 1: Write the proportion equation
   75,576 : 112,969.25 = 112,969.25 : x
2. Step 2: Convert to fraction form
   75,576/112,969.25 = 112,969.25/x
3. Step 3: Cross multiply
   75,576x = 112,969.25 × 112,969.25
4. Step 4: Simplify right side
   75,576x = 12,762,051,445.56
5. Step 5: Solve for x
   x = 12,762,051,445.56/75,576
6. Step 6: Final answer
   x = 168,863.81