Finding the Third Proportional to 107,059.50 and 160,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,059.50 : 160,588.50 = 160,588.50 : x
2. Step 2: Convert to fraction form
   107,059.50/160,588.50 = 160,588.50/x
3. Step 3: Cross multiply
   107,059.50x = 160,588.50 × 160,588.50
4. Step 4: Simplify right side
   107,059.50x = 25,788,666,332.25
5. Step 5: Solve for x
   x = 25,788,666,332.25/107,059.50
6. Step 6: Final answer
   x = 240,881.63