Finding the Third Proportional to 214,113 and 333,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,113 : 333,025.50 = 333,025.50 : x
2. Step 2: Convert to fraction form
   214,113/333,025.50 = 333,025.50/x
3. Step 3: Cross multiply
   214,113x = 333,025.50 × 333,025.50
4. Step 4: Simplify right side
   214,113x = 110,905,983,650.25
5. Step 5: Solve for x
   x = 110,905,983,650.25/214,113
6. Step 6: Final answer
   x = 517,978.75