Finding the Third Proportional to 62,523 and 144,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,523 : 144,616.50 = 144,616.50 : x
2. Step 2: Convert to fraction form
   62,523/144,616.50 = 144,616.50/x
3. Step 3: Cross multiply
   62,523x = 144,616.50 × 144,616.50
4. Step 4: Simplify right side
   62,523x = 20,913,932,072.25
5. Step 5: Solve for x
   x = 20,913,932,072.25/62,523
6. Step 6: Final answer
   x = 334,499.82