Finding the Third Proportional to 214,050 and 314,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,050 : 314,866.50 = 314,866.50 : x
2. Step 2: Convert to fraction form
   214,050/314,866.50 = 314,866.50/x
3. Step 3: Cross multiply
   214,050x = 314,866.50 × 314,866.50
4. Step 4: Simplify right side
   214,050x = 99,140,912,822.25
5. Step 5: Solve for x
   x = 99,140,912,822.25/214,050
6. Step 6: Final answer
   x = 463,167.08