Finding the Third Proportional to 35,463 and 84,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,463 : 84,337.50 = 84,337.50 : x
2. Step 2: Convert to fraction form
   35,463/84,337.50 = 84,337.50/x
3. Step 3: Cross multiply
   35,463x = 84,337.50 × 84,337.50
4. Step 4: Simplify right side
   35,463x = 7,112,813,906.25
5. Step 5: Solve for x
   x = 7,112,813,906.25/35,463
6. Step 6: Final answer
   x = 200,570.00