Finding the Third Proportional to 172,098 and 370,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,098 : 370,561.50 = 370,561.50 : x
2. Step 2: Convert to fraction form
   172,098/370,561.50 = 370,561.50/x
3. Step 3: Cross multiply
   172,098x = 370,561.50 × 370,561.50
4. Step 4: Simplify right side
   172,098x = 137,315,825,282.25
5. Step 5: Solve for x
   x = 137,315,825,282.25/172,098
6. Step 6: Final answer
   x = 797,893.21