Finding the Third Proportional to 107,313 and 166,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,313 : 166,011.50 = 166,011.50 : x
2. Step 2: Convert to fraction form
   107,313/166,011.50 = 166,011.50/x
3. Step 3: Cross multiply
   107,313x = 166,011.50 × 166,011.50
4. Step 4: Simplify right side
   107,313x = 27,559,818,132.25
5. Step 5: Solve for x
   x = 27,559,818,132.25/107,313
6. Step 6: Final answer
   x = 256,817.14