Finding the Third Proportional to 78,740 and 117,892

Step by Step Solution

1. Step 1: Write the proportion equation
   78,740 : 117,892 = 117,892 : x
2. Step 2: Convert to fraction form
   78,740/117,892 = 117,892/x
3. Step 3: Cross multiply
   78,740x = 117,892 × 117,892
4. Step 4: Simplify right side
   78,740x = 13,898,523,664
5. Step 5: Solve for x
   x = 13,898,523,664/78,740
6. Step 6: Final answer
   x = 176,511.60