Finding the Third Proportional to 190,116 and 413,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,116 : 413,077.50 = 413,077.50 : x
2. Step 2: Convert to fraction form
   190,116/413,077.50 = 413,077.50/x
3. Step 3: Cross multiply
   190,116x = 413,077.50 × 413,077.50
4. Step 4: Simplify right side
   190,116x = 170,633,021,006.25
5. Step 5: Solve for x
   x = 170,633,021,006.25/190,116
6. Step 6: Final answer
   x = 897,520.57