Finding the Third Proportional to 535,806 and 727,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   535,806 : 727,672.50 = 727,672.50 : x
2. Step 2: Convert to fraction form
   535,806/727,672.50 = 727,672.50/x
3. Step 3: Cross multiply
   535,806x = 727,672.50 × 727,672.50
4. Step 4: Simplify right side
   535,806x = 529,507,267,256.25
5. Step 5: Solve for x
   x = 529,507,267,256.25/535,806
6. Step 6: Final answer
   x = 988,244.38