Finding the Third Proportional to 81,594 and 172,975.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,594 : 172,975.50 = 172,975.50 : x
2. Step 2: Convert to fraction form
   81,594/172,975.50 = 172,975.50/x
3. Step 3: Cross multiply
   81,594x = 172,975.50 × 172,975.50
4. Step 4: Simplify right side
   81,594x = 29,920,523,600.25
5. Step 5: Solve for x
   x = 29,920,523,600.25/81,594
6. Step 6: Final answer
   x = 366,700.05