Finding the Third Proportional to 533,376 and 1,166,382

Step by Step Solution

1. Step 1: Write the proportion equation
   533,376 : 1,166,382 = 1,166,382 : x
2. Step 2: Convert to fraction form
   533,376/1,166,382 = 1,166,382/x
3. Step 3: Cross multiply
   533,376x = 1,166,382 × 1,166,382
4. Step 4: Simplify right side
   533,376x = 1,360,446,969,924
5. Step 5: Solve for x
   x = 1,360,446,969,924/533,376
6. Step 6: Final answer
   x = 2,550,634.02