Finding the Third Proportional to 214,368 and 461,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,368 : 461,500.50 = 461,500.50 : x
2. Step 2: Convert to fraction form
   214,368/461,500.50 = 461,500.50/x
3. Step 3: Cross multiply
   214,368x = 461,500.50 × 461,500.50
4. Step 4: Simplify right side
   214,368x = 212,982,711,500.25
5. Step 5: Solve for x
   x = 212,982,711,500.25/214,368
6. Step 6: Final answer
   x = 993,537.80