Finding the Third Proportional to 107,113 and 166,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,113 : 166,054.50 = 166,054.50 : x
2. Step 2: Convert to fraction form
   107,113/166,054.50 = 166,054.50/x
3. Step 3: Cross multiply
   107,113x = 166,054.50 × 166,054.50
4. Step 4: Simplify right side
   107,113x = 27,574,096,970.25
5. Step 5: Solve for x
   x = 27,574,096,970.25/107,113
6. Step 6: Final answer
   x = 257,429.98