Finding the Third Proportional to 214,269 and 409,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,269 : 409,096.50 = 409,096.50 : x
2. Step 2: Convert to fraction form
   214,269/409,096.50 = 409,096.50/x
3. Step 3: Cross multiply
   214,269x = 409,096.50 × 409,096.50
4. Step 4: Simplify right side
   214,269x = 167,359,946,312.25
5. Step 5: Solve for x
   x = 167,359,946,312.25/214,269
6. Step 6: Final answer
   x = 781,074.01