Finding the Third Proportional to 65,624 and 144,784

Step by Step Solution

1. Step 1: Write the proportion equation
   65,624 : 144,784 = 144,784 : x
2. Step 2: Convert to fraction form
   65,624/144,784 = 144,784/x
3. Step 3: Cross multiply
   65,624x = 144,784 × 144,784
4. Step 4: Simplify right side
   65,624x = 20,962,406,656
5. Step 5: Solve for x
   x = 20,962,406,656/65,624
6. Step 6: Final answer
   x = 319,432.02