Finding the Third Proportional to 83,526 and 173,964

Step by Step Solution

1. Step 1: Write the proportion equation
   83,526 : 173,964 = 173,964 : x
2. Step 2: Convert to fraction form
   83,526/173,964 = 173,964/x
3. Step 3: Cross multiply
   83,526x = 173,964 × 173,964
4. Step 4: Simplify right side
   83,526x = 30,263,473,296
5. Step 5: Solve for x
   x = 30,263,473,296/83,526
6. Step 6: Final answer
   x = 362,323.99