Finding the Third Proportional to 72,830 and 109,758

Step by Step Solution

1. Step 1: Write the proportion equation
   72,830 : 109,758 = 109,758 : x
2. Step 2: Convert to fraction form
   72,830/109,758 = 109,758/x
3. Step 3: Cross multiply
   72,830x = 109,758 × 109,758
4. Step 4: Simplify right side
   72,830x = 12,046,818,564
5. Step 5: Solve for x
   x = 12,046,818,564/72,830
6. Step 6: Final answer
   x = 165,410.11