Finding the Third Proportional to 71,913 and 112,564

Step by Step Solution

1. Step 1: Write the proportion equation
   71,913 : 112,564 = 112,564 : x
2. Step 2: Convert to fraction form
   71,913/112,564 = 112,564/x
3. Step 3: Cross multiply
   71,913x = 112,564 × 112,564
4. Step 4: Simplify right side
   71,913x = 12,670,654,096
5. Step 5: Solve for x
   x = 12,670,654,096/71,913
6. Step 6: Final answer
   x = 176,194.21