Finding the Third Proportional to 347,427 and 519,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347,427 : 519,094.50 = 519,094.50 : x
2. Step 2: Convert to fraction form
   347,427/519,094.50 = 519,094.50/x
3. Step 3: Cross multiply
   347,427x = 519,094.50 × 519,094.50
4. Step 4: Simplify right side
   347,427x = 269,459,099,930.25
5. Step 5: Solve for x
   x = 269,459,099,930.25/347,427
6. Step 6: Final answer
   x = 775,584.80