Finding the Third Proportional to 71,280 and 112,116

Step by Step Solution

1. Step 1: Write the proportion equation
   71,280 : 112,116 = 112,116 : x
2. Step 2: Convert to fraction form
   71,280/112,116 = 112,116/x
3. Step 3: Cross multiply
   71,280x = 112,116 × 112,116
4. Step 4: Simplify right side
   71,280x = 12,569,997,456
5. Step 5: Solve for x
   x = 12,569,997,456/71,280
6. Step 6: Final answer
   x = 176,346.77