Finding the Third Proportional to 212,691 and 314,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,691 : 314,932.50 = 314,932.50 : x
2. Step 2: Convert to fraction form
   212,691/314,932.50 = 314,932.50/x
3. Step 3: Cross multiply
   212,691x = 314,932.50 × 314,932.50
4. Step 4: Simplify right side
   212,691x = 99,182,479,556.25
5. Step 5: Solve for x
   x = 99,182,479,556.25/212,691
6. Step 6: Final answer
   x = 466,321.94