Finding the Third Proportional to 538,599 and 835,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   538,599 : 835,117.50 = 835,117.50 : x
2. Step 2: Convert to fraction form
   538,599/835,117.50 = 835,117.50/x
3. Step 3: Cross multiply
   538,599x = 835,117.50 × 835,117.50
4. Step 4: Simplify right side
   538,599x = 697,421,238,806.25
5. Step 5: Solve for x
   x = 697,421,238,806.25/538,599
6. Step 6: Final answer
   x = 1,294,880.31