Finding the Third Proportional to 107,007 and 165,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,007 : 165,601.50 = 165,601.50 : x
2. Step 2: Convert to fraction form
   107,007/165,601.50 = 165,601.50/x
3. Step 3: Cross multiply
   107,007x = 165,601.50 × 165,601.50
4. Step 4: Simplify right side
   107,007x = 27,423,856,802.25
5. Step 5: Solve for x
   x = 27,423,856,802.25/107,007
6. Step 6: Final answer
   x = 256,280.96