Finding the Third Proportional to 80,693.50 and 172,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,693.50 : 172,368.50 = 172,368.50 : x
2. Step 2: Convert to fraction form
   80,693.50/172,368.50 = 172,368.50/x
3. Step 3: Cross multiply
   80,693.50x = 172,368.50 × 172,368.50
4. Step 4: Simplify right side
   80,693.50x = 29,710,899,792.25
5. Step 5: Solve for x
   x = 29,710,899,792.25/80,693.50
6. Step 6: Final answer
   x = 368,194.46