Finding the Third Proportional to 85,347 and 199,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,347 : 199,435.50 = 199,435.50 : x
2. Step 2: Convert to fraction form
   85,347/199,435.50 = 199,435.50/x
3. Step 3: Cross multiply
   85,347x = 199,435.50 × 199,435.50
4. Step 4: Simplify right side
   85,347x = 39,774,518,660.25
5. Step 5: Solve for x
   x = 39,774,518,660.25/85,347
6. Step 6: Final answer
   x = 466,033.00