Finding the Third Proportional to 472,002.75 and 707,841

Step by Step Solution

1. Step 1: Write the proportion equation
   472,002.75 : 707,841 = 707,841 : x
2. Step 2: Convert to fraction form
   472,002.75/707,841 = 707,841/x
3. Step 3: Cross multiply
   472,002.75x = 707,841 × 707,841
4. Step 4: Simplify right side
   472,002.75x = 501,038,881,281
5. Step 5: Solve for x
   x = 501,038,881,281/472,002.75
6. Step 6: Final answer
   x = 1,061,516.87