Finding the Third Proportional to 72,260 and 109,784

Step by Step Solution

1. Step 1: Write the proportion equation
   72,260 : 109,784 = 109,784 : x
2. Step 2: Convert to fraction form
   72,260/109,784 = 109,784/x
3. Step 3: Cross multiply
   72,260x = 109,784 × 109,784
4. Step 4: Simplify right side
   72,260x = 12,052,526,656
5. Step 5: Solve for x
   x = 12,052,526,656/72,260
6. Step 6: Final answer
   x = 166,793.89