Finding the Third Proportional to 91,177.50 and 195,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,177.50 : 195,111.75 = 195,111.75 : x
2. Step 2: Convert to fraction form
   91,177.50/195,111.75 = 195,111.75/x
3. Step 3: Cross multiply
   91,177.50x = 195,111.75 × 195,111.75
4. Step 4: Simplify right side
   91,177.50x = 38,068,594,988.06
5. Step 5: Solve for x
   x = 38,068,594,988.06/91,177.50
6. Step 6: Final answer
   x = 417,521.81