Finding the Third Proportional to 81,880.75 and 173,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,880.75 : 173,602.50 = 173,602.50 : x
2. Step 2: Convert to fraction form
   81,880.75/173,602.50 = 173,602.50/x
3. Step 3: Cross multiply
   81,880.75x = 173,602.50 × 173,602.50
4. Step 4: Simplify right side
   81,880.75x = 30,137,828,006.25
5. Step 5: Solve for x
   x = 30,137,828,006.25/81,880.75
6. Step 6: Final answer
   x = 368,069.76