Finding the Third Proportional to 65,090 and 142,634

Step by Step Solution

1. Step 1: Write the proportion equation
   65,090 : 142,634 = 142,634 : x
2. Step 2: Convert to fraction form
   65,090/142,634 = 142,634/x
3. Step 3: Cross multiply
   65,090x = 142,634 × 142,634
4. Step 4: Simplify right side
   65,090x = 20,344,457,956
5. Step 5: Solve for x
   x = 20,344,457,956/65,090
6. Step 6: Final answer
   x = 312,558.89