Finding the Third Proportional to 214,731 and 291,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,731 : 291,478.50 = 291,478.50 : x
2. Step 2: Convert to fraction form
   214,731/291,478.50 = 291,478.50/x
3. Step 3: Cross multiply
   214,731x = 291,478.50 × 291,478.50
4. Step 4: Simplify right side
   214,731x = 84,959,715,962.25
5. Step 5: Solve for x
   x = 84,959,715,962.25/214,731
6. Step 6: Final answer
   x = 395,656.50