Finding the Third Proportional to 107,235 and 177,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,235 : 177,700.50 = 177,700.50 : x
2. Step 2: Convert to fraction form
   107,235/177,700.50 = 177,700.50/x
3. Step 3: Cross multiply
   107,235x = 177,700.50 × 177,700.50
4. Step 4: Simplify right side
   107,235x = 31,577,467,700.25
5. Step 5: Solve for x
   x = 31,577,467,700.25/107,235
6. Step 6: Final answer
   x = 294,469.79