Finding the Third Proportional to 62,523 and 138,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,523 : 138,559.50 = 138,559.50 : x
2. Step 2: Convert to fraction form
   62,523/138,559.50 = 138,559.50/x
3. Step 3: Cross multiply
   62,523x = 138,559.50 × 138,559.50
4. Step 4: Simplify right side
   62,523x = 19,198,735,040.25
5. Step 5: Solve for x
   x = 19,198,735,040.25/62,523
6. Step 6: Final answer
   x = 307,066.76