Finding the Third Proportional to 214,575 and 291,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,575 : 291,421.50 = 291,421.50 : x
2. Step 2: Convert to fraction form
   214,575/291,421.50 = 291,421.50/x
3. Step 3: Cross multiply
   214,575x = 291,421.50 × 291,421.50
4. Step 4: Simplify right side
   214,575x = 84,926,490,662.25
5. Step 5: Solve for x
   x = 84,926,490,662.25/214,575
6. Step 6: Final answer
   x = 395,789.31