Finding the Third Proportional to 97,814 and 214,379.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,814 : 214,379.50 = 214,379.50 : x
2. Step 2: Convert to fraction form
   97,814/214,379.50 = 214,379.50/x
3. Step 3: Cross multiply
   97,814x = 214,379.50 × 214,379.50
4. Step 4: Simplify right side
   97,814x = 45,958,570,020.25
5. Step 5: Solve for x
   x = 45,958,570,020.25/97,814
6. Step 6: Final answer
   x = 469,856.77