Finding the Third Proportional to 78,516 and 112,145

Step by Step Solution

1. Step 1: Write the proportion equation
   78,516 : 112,145 = 112,145 : x
2. Step 2: Convert to fraction form
   78,516/112,145 = 112,145/x
3. Step 3: Cross multiply
   78,516x = 112,145 × 112,145
4. Step 4: Simplify right side
   78,516x = 12,576,501,025
5. Step 5: Solve for x
   x = 12,576,501,025/78,516
6. Step 6: Final answer
   x = 160,177.56