Finding the Third Proportional to 190,392 and 413,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,392 : 413,608.50 = 413,608.50 : x
2. Step 2: Convert to fraction form
   190,392/413,608.50 = 413,608.50/x
3. Step 3: Cross multiply
   190,392x = 413,608.50 × 413,608.50
4. Step 4: Simplify right side
   190,392x = 171,071,991,272.25
5. Step 5: Solve for x
   x = 171,071,991,272.25/190,392
6. Step 6: Final answer
   x = 898,525.10