Finding the Third Proportional to 538,946 and 898,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,946 : 898,190.50 = 898,190.50 : x
2. Step 2: Convert to fraction form
   538,946/898,190.50 = 898,190.50/x
3. Step 3: Cross multiply
   538,946x = 898,190.50 × 898,190.50
4. Step 4: Simplify right side
   538,946x = 806,746,174,290.25
5. Step 5: Solve for x
   x = 806,746,174,290.25/538,946
6. Step 6: Final answer
   x = 1,496,896.12