Finding the Third Proportional to 533,493 and 948,567.38

Step by Step Solution

1. Step 1: Write the proportion equation
   533,493 : 948,567.38 = 948,567.38 : x
2. Step 2: Convert to fraction form
   533,493/948,567.38 = 948,567.38/x
3. Step 3: Cross multiply
   533,493x = 948,567.38 × 948,567.38
4. Step 4: Simplify right side
   533,493x = 899,780,064,914.39
5. Step 5: Solve for x
   x = 899,780,064,914.39/533,493
6. Step 6: Final answer
   x = 1,686,582.70