Finding the Third Proportional to 346,200 and 519,300

Step by Step Solution

1. Step 1: Write the proportion equation
   346,200 : 519,300 = 519,300 : x
2. Step 2: Convert to fraction form
   346,200/519,300 = 519,300/x
3. Step 3: Cross multiply
   346,200x = 519,300 × 519,300
4. Step 4: Simplify right side
   346,200x = 269,672,490,000
5. Step 5: Solve for x
   x = 269,672,490,000/346,200
6. Step 6: Final answer
   x = 778,950