Finding the Third Proportional to 90,535.50 and 140,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,535.50 : 140,980.50 = 140,980.50 : x
2. Step 2: Convert to fraction form
   90,535.50/140,980.50 = 140,980.50/x
3. Step 3: Cross multiply
   90,535.50x = 140,980.50 × 140,980.50
4. Step 4: Simplify right side
   90,535.50x = 19,875,501,380.25
5. Step 5: Solve for x
   x = 19,875,501,380.25/90,535.50
6. Step 6: Final answer
   x = 219,532.68