Finding the Third Proportional to 214,423.50 and 314,472

Step by Step Solution

1. Step 1: Write the proportion equation
   214,423.50 : 314,472 = 314,472 : x
2. Step 2: Convert to fraction form
   214,423.50/314,472 = 314,472/x
3. Step 3: Cross multiply
   214,423.50x = 314,472 × 314,472
4. Step 4: Simplify right side
   214,423.50x = 98,892,638,784
5. Step 5: Solve for x
   x = 98,892,638,784/214,423.50
6. Step 6: Final answer
   x = 461,202.43