Finding the Third Proportional to 214,776 and 315,588.75

Step by Step Solution

1. Step 1: Write the proportion equation
   214,776 : 315,588.75 = 315,588.75 : x
2. Step 2: Convert to fraction form
   214,776/315,588.75 = 315,588.75/x
3. Step 3: Cross multiply
   214,776x = 315,588.75 × 315,588.75
4. Step 4: Simplify right side
   214,776x = 99,596,259,126.56
5. Step 5: Solve for x
   x = 99,596,259,126.56/214,776
6. Step 6: Final answer
   x = 463,721.55