Finding the Third Proportional to 347,148 and 519,300

Step by Step Solution

1. Step 1: Write the proportion equation
   347,148 : 519,300 = 519,300 : x
2. Step 2: Convert to fraction form
   347,148/519,300 = 519,300/x
3. Step 3: Cross multiply
   347,148x = 519,300 × 519,300
4. Step 4: Simplify right side
   347,148x = 269,672,490,000
5. Step 5: Solve for x
   x = 269,672,490,000/347,148
6. Step 6: Final answer
   x = 776,822.82