Finding the Third Proportional to 349,312 and 526,002

Step by Step Solution

1. Step 1: Write the proportion equation
   349,312 : 526,002 = 526,002 : x
2. Step 2: Convert to fraction form
   349,312/526,002 = 526,002/x
3. Step 3: Cross multiply
   349,312x = 526,002 × 526,002
4. Step 4: Simplify right side
   349,312x = 276,678,104,004
5. Step 5: Solve for x
   x = 276,678,104,004/349,312
6. Step 6: Final answer
   x = 792,065.84