Finding the Third Proportional to 433,040 and 623,774

Step by Step Solution

1. Step 1: Write the proportion equation
   433,040 : 623,774 = 623,774 : x
2. Step 2: Convert to fraction form
   433,040/623,774 = 623,774/x
3. Step 3: Cross multiply
   433,040x = 623,774 × 623,774
4. Step 4: Simplify right side
   433,040x = 389,094,003,076
5. Step 5: Solve for x
   x = 389,094,003,076/433,040
6. Step 6: Final answer
   x = 898,517.47