Finding the Third Proportional to 525,888 and 824,068

Step by Step Solution

1. Step 1: Write the proportion equation
   525,888 : 824,068 = 824,068 : x
2. Step 2: Convert to fraction form
   525,888/824,068 = 824,068/x
3. Step 3: Cross multiply
   525,888x = 824,068 × 824,068
4. Step 4: Simplify right side
   525,888x = 679,088,068,624
5. Step 5: Solve for x
   x = 679,088,068,624/525,888
6. Step 6: Final answer
   x = 1,291,316.91