Finding the Third Proportional to 40,842 and 84,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,842 : 84,802.50 = 84,802.50 : x
2. Step 2: Convert to fraction form
   40,842/84,802.50 = 84,802.50/x
3. Step 3: Cross multiply
   40,842x = 84,802.50 × 84,802.50
4. Step 4: Simplify right side
   40,842x = 7,191,464,006.25
5. Step 5: Solve for x
   x = 7,191,464,006.25/40,842
6. Step 6: Final answer
   x = 176,080.11