Finding the Third Proportional to 538,644 and 1,166,432

Step by Step Solution

1. Step 1: Write the proportion equation
   538,644 : 1,166,432 = 1,166,432 : x
2. Step 2: Convert to fraction form
   538,644/1,166,432 = 1,166,432/x
3. Step 3: Cross multiply
   538,644x = 1,166,432 × 1,166,432
4. Step 4: Simplify right side
   538,644x = 1,360,563,610,624
5. Step 5: Solve for x
   x = 1,360,563,610,624/538,644
6. Step 6: Final answer
   x = 2,525,905.07