Finding the Third Proportional to 40,842 and 98,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,842 : 98,977.50 = 98,977.50 : x
2. Step 2: Convert to fraction form
   40,842/98,977.50 = 98,977.50/x
3. Step 3: Cross multiply
   40,842x = 98,977.50 × 98,977.50
4. Step 4: Simplify right side
   40,842x = 9,796,545,506.25
5. Step 5: Solve for x
   x = 9,796,545,506.25/40,842
6. Step 6: Final answer
   x = 239,864.49