Finding the Third Proportional to 30,901.50 and 78,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,901.50 : 78,277.50 = 78,277.50 : x
2. Step 2: Convert to fraction form
   30,901.50/78,277.50 = 78,277.50/x
3. Step 3: Cross multiply
   30,901.50x = 78,277.50 × 78,277.50
4. Step 4: Simplify right side
   30,901.50x = 6,127,367,006.25
5. Step 5: Solve for x
   x = 6,127,367,006.25/30,901.50
6. Step 6: Final answer
   x = 198,287.04