Finding the Third Proportional to 1,001,464 and 1,527,420

Step by Step Solution

1. Step 1: Write the proportion equation
   1,001,464 : 1,527,420 = 1,527,420 : x
2. Step 2: Convert to fraction form
   1,001,464/1,527,420 = 1,527,420/x
3. Step 3: Cross multiply
   1,001,464x = 1,527,420 × 1,527,420
4. Step 4: Simplify right side
   1,001,464x = 2,333,011,856,400
5. Step 5: Solve for x
   x = 2,333,011,856,400/1,001,464
6. Step 6: Final answer
   x = 2,329,601.32