Finding the Third Proportional to 116,705.25 and 185,265

Step by Step Solution

1. Step 1: Write the proportion equation
   116,705.25 : 185,265 = 185,265 : x
2. Step 2: Convert to fraction form
   116,705.25/185,265 = 185,265/x
3. Step 3: Cross multiply
   116,705.25x = 185,265 × 185,265
4. Step 4: Simplify right side
   116,705.25x = 34,323,120,225
5. Step 5: Solve for x
   x = 34,323,120,225/116,705.25
6. Step 6: Final answer
   x = 294,100.91