Finding the Third Proportional to 117,945 and 177,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,945 : 177,565.50 = 177,565.50 : x
2. Step 2: Convert to fraction form
   117,945/177,565.50 = 177,565.50/x
3. Step 3: Cross multiply
   117,945x = 177,565.50 × 177,565.50
4. Step 4: Simplify right side
   117,945x = 31,529,506,790.25
5. Step 5: Solve for x
   x = 31,529,506,790.25/117,945
6. Step 6: Final answer
   x = 267,323.81