Finding the Third Proportional to 89,268.75 and 185,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,268.75 : 185,935.50 = 185,935.50 : x
2. Step 2: Convert to fraction form
   89,268.75/185,935.50 = 185,935.50/x
3. Step 3: Cross multiply
   89,268.75x = 185,935.50 × 185,935.50
4. Step 4: Simplify right side
   89,268.75x = 34,572,010,160.25
5. Step 5: Solve for x
   x = 34,572,010,160.25/89,268.75
6. Step 6: Final answer
   x = 387,280.10