Finding the Third Proportional to 77,343 and 162,978

Step by Step Solution

1. Step 1: Write the proportion equation
   77,343 : 162,978 = 162,978 : x
2. Step 2: Convert to fraction form
   77,343/162,978 = 162,978/x
3. Step 3: Cross multiply
   77,343x = 162,978 × 162,978
4. Step 4: Simplify right side
   77,343x = 26,561,828,484
5. Step 5: Solve for x
   x = 26,561,828,484/77,343
6. Step 6: Final answer
   x = 343,428.99