Finding the Third Proportional to 77,256 and 162,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,256 : 162,814.50 = 162,814.50 : x
2. Step 2: Convert to fraction form
   77,256/162,814.50 = 162,814.50/x
3. Step 3: Cross multiply
   77,256x = 162,814.50 × 162,814.50
4. Step 4: Simplify right side
   77,256x = 26,508,561,410.25
5. Step 5: Solve for x
   x = 26,508,561,410.25/77,256
6. Step 6: Final answer
   x = 343,126.25