Finding the Third Proportional to 107,312 and 166,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,312 : 166,087.50 = 166,087.50 : x
2. Step 2: Convert to fraction form
   107,312/166,087.50 = 166,087.50/x
3. Step 3: Cross multiply
   107,312x = 166,087.50 × 166,087.50
4. Step 4: Simplify right side
   107,312x = 27,585,057,656.25
5. Step 5: Solve for x
   x = 27,585,057,656.25/107,312
6. Step 6: Final answer
   x = 257,054.73