Finding the Third Proportional to 62,594 and 137,014

Step by Step Solution

1. Step 1: Write the proportion equation
   62,594 : 137,014 = 137,014 : x
2. Step 2: Convert to fraction form
   62,594/137,014 = 137,014/x
3. Step 3: Cross multiply
   62,594x = 137,014 × 137,014
4. Step 4: Simplify right side
   62,594x = 18,772,836,196
5. Step 5: Solve for x
   x = 18,772,836,196/62,594
6. Step 6: Final answer
   x = 299,914.31