Finding the Third Proportional to 73,827 and 114,537.38

Step by Step Solution

1. Step 1: Write the proportion equation
   73,827 : 114,537.38 = 114,537.38 : x
2. Step 2: Convert to fraction form
   73,827/114,537.38 = 114,537.38/x
3. Step 3: Cross multiply
   73,827x = 114,537.38 × 114,537.38
4. Step 4: Simplify right side
   73,827x = 13,118,810,271.89
5. Step 5: Solve for x
   x = 13,118,810,271.89/73,827
6. Step 6: Final answer
   x = 177,696.65