Finding the Third Proportional to 62,566.50 and 137,586

Step by Step Solution

1. Step 1: Write the proportion equation
   62,566.50 : 137,586 = 137,586 : x
2. Step 2: Convert to fraction form
   62,566.50/137,586 = 137,586/x
3. Step 3: Cross multiply
   62,566.50x = 137,586 × 137,586
4. Step 4: Simplify right side
   62,566.50x = 18,929,907,396
5. Step 5: Solve for x
   x = 18,929,907,396/62,566.50
6. Step 6: Final answer
   x = 302,556.60