Finding the Third Proportional to 214,298 and 291,883.75

Step by Step Solution

1. Step 1: Write the proportion equation
   214,298 : 291,883.75 = 291,883.75 : x
2. Step 2: Convert to fraction form
   214,298/291,883.75 = 291,883.75/x
3. Step 3: Cross multiply
   214,298x = 291,883.75 × 291,883.75
4. Step 4: Simplify right side
   214,298x = 85,196,123,514.06
5. Step 5: Solve for x
   x = 85,196,123,514.06/214,298
6. Step 6: Final answer
   x = 397,559.12