Finding the Third Proportional to 347,854.50 and 507,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347,854.50 : 507,019.50 = 507,019.50 : x
2. Step 2: Convert to fraction form
   347,854.50/507,019.50 = 507,019.50/x
3. Step 3: Cross multiply
   347,854.50x = 507,019.50 × 507,019.50
4. Step 4: Simplify right side
   347,854.50x = 257,068,773,380.25
5. Step 5: Solve for x
   x = 257,068,773,380.25/347,854.50
6. Step 6: Final answer
   x = 739,012.36