Finding the Third Proportional to 32,080.50 and 77,284.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,080.50 : 77,284.50 = 77,284.50 : x
2. Step 2: Convert to fraction form
   32,080.50/77,284.50 = 77,284.50/x
3. Step 3: Cross multiply
   32,080.50x = 77,284.50 × 77,284.50
4. Step 4: Simplify right side
   32,080.50x = 5,972,893,940.25
5. Step 5: Solve for x
   x = 5,972,893,940.25/32,080.50
6. Step 6: Final answer
   x = 186,184.57